332354 + Interview Questions in Secondary School in Math

1.	Write the first three terms in each of the sequence defined by the fallowing (i) an = 3n+2 (ii) an = n2 +1 2. Write the first five terms of the sequence defined by an = (-1)n-1 . 2n 3. A sequence is defined by an = n3 -6n2 +11n-6 . show that the first three terms of the sequence are zero and all other terms are positive . 4. What is the 18th term of the sequence defined by an = . 5. Let a sequence be defined by a1=3 , an=3an-1 + 1 for all n > 1 . 6. Let a sequence be defined by a1 = 1 , a2 = 1 and , an = an-1 + an-2 for all n > 2 , find for n = 1 , 2 , 3 , 4 . 7. Write an A.P. whose first term is 10 and common difference is 3 . 8. Write an A.P. having 4 as the first term and -3 as the common difference . 9. Write an A.P. whose first term and common difference are -1.25 and -0.25 respectively . 10. For the fallowing arithmetic progressions write the first term and common difference (i) (ii) 0.6 , 1.7 , 2.8 , 3.9 , ........ 11. In which of the fallowing situations , the sequence formed will from an A.P. ? i) Number of students left in the school auditorium from the total strength of 1000 students when they leave the auditorium in batches of 25 . ii) The amount of the money in the account every year when Rs 100 are deposited annually to accumulate at compound interest at 4% per annum . 12. Find the common difference and write the next three terms of the A.P. 3,-2,-7,-12,..... 13. Find the 12th , 24th and the nth term of the A.P. given by 9 , 13 , 17 , 21 , 25 , ....... 14. Show that the sequence 9 , 12 , 15 , 18 , ...... is an A.P. find its 16th term and the general term. 15. The first term of an A.P. is -7 and the common difference 5 . Find its 18th term and the general term . 16. Determine the 10th term from the end of the A.P. 4 , 9 , 14 .... , 254 . 17. Which term of the sequence -1 , 3 , 7 , 11 ... is 95 ? 18. Which term of the sequence 4 , 9 , 14 , 19 ... , is 124 ? 19. How many terms are there in the sequence 3 , 6 , 9 , 12 , .... , 111 ? 20. For what value of n is the n th term of the fallowing two A.P’s the same ? i) 1, 7 , 13 , 19 , ... ii) 69 , 68 , 67 , .... 21. If the 8th term of an A.P. is 31 and the 15th term is 16 more than the 11th term , find the A.P. 22. Which term of the arithmetic progression 5 , 15 , 25 , ... will be 130 more than its 31st term ? 23. If the 10th term of the A.P. is 52 and 17th term is 20 more than the 13th term . find the A.P. 24. Is 184 a term of the sequence 3 , 7 , 11 , ... ? 25. Which term of the sequence 20 , 19 , 18 , 17 , ... is the first negative term ? 26. The 10th term of an A.P. is 52 and 16th term is 82 . Find the 32nd term and the general term . 27. The sum of 5th and 9th terms of an A.P. is 72 and the sum of 7th and 12th terms is 97 . Find A.P. 28. Determine the general term of an A.P. whose 7th term is -1 and 16th term 17 . 29. If five times the fifth term of an A.P. is equal to 8 times its eighth term , show that its 13th term is zero . 30. If the mth term of an A.P. be 1/n and nth term be 1/m , then show that its (mn)th term is 1 . 31. If the pth term of an A.P. is q and the qth term is P, prove that its nth term is (p+q-n) . 32. If m times the mth term of an A.P. is equal to n times its nth term , show that the (m+n)th term of the A.P. is zero . 33. If p th , qth , and rth terms of an A.P. are a , b , c respectively , then show that i) a (q-r) + b (r-p) + c (p-q) = 0 ii) (a-b) r + (b-c) p + ( c-a) q = 0 34. How many numbers of two digits are divisible by 7 ? 35. Find the number of integers between 50 and 500 which are divisible by 7 ? 36. Which term of the A.P. 3 , 15 , 27 , 39 , ... will be 132 more than its 54th term ? 37. Two A.P’s have the same common difference . The first term of one of these is 3 and that of the other is 8 . What is the difference between their ? i) 2nd terms ? ii) 4th terms ? iii) 10th terms ? iv) 30th terms ? 38. Two A.P’s have the same common difference . The difference between their 100th terms is 111 222 333 . What is the difference between their millionth terms ? 39. A sum of Rs 1000 is invested at 8% simple interest per annum . Calculate the interest at the end of 1 , 2 , 3 , ... years . Is the sequence of interest an A.P. ? Find the interest at the end of 30 years ?
Answer» Answer: Step-by-step explanation: 3 , 15 , 27, 39..... First we need to calculate 54th TERM We know that aₙ = a + (n -1 )d Here, a =3 d = 15 -3 =12 n = 54 Putting values in formula a₅₄ = a + (n-1)d = 3 + (54-1) ₓ12 =3 + 53 ₓ 12 = 3 + 636 = 639 So 54th term a₅₄ 132 + 639 = 771 Therefore aₙ = 771 Putting value in formula aₙ = a + (n-1)d 771 = 3 +(n-1) ₓ 12 771 -3 = (n-1) ₓ 12 768 /12 = n-1 64 = n-1 n = 65 65th term is 132 more than 54th term

1.

Write the first three terms in each of the sequence defined by the fallowing (i) an = 3n+2 (ii) an = n2 +1 2. Write the first five terms of the sequence defined by an = (-1)n-1 . 2n 3. A sequence is defined by an = n3 -6n2 +11n-6 . show that the first three terms of the sequence are zero and all other terms are positive . 4. What is the 18th term of the sequence defined by an = . 5. Let a sequence be defined by a1=3 , an=3an-1 + 1 for all n > 1 . 6. Let a sequence be defined by a1 = 1 , a2 = 1 and , an = an-1 + an-2 for all n > 2 , find for n = 1 , 2 , 3 , 4 . 7. Write an A.P. whose first term is 10 and common difference is 3 . 8. Write an A.P. having 4 as the first term and -3 as the common difference . 9. Write an A.P. whose first term and common difference are -1.25 and -0.25 respectively . 10. For the fallowing arithmetic progressions write the first term and common difference (i) (ii) 0.6 , 1.7 , 2.8 , 3.9 , ........ 11. In which of the fallowing situations , the sequence formed will from an A.P. ? i) Number of students left in the school auditorium from the total strength of 1000 students when they leave the auditorium in batches of 25 . ii) The amount of the money in the account every year when Rs 100 are deposited annually to accumulate at compound interest at 4% per annum . 12. Find the common difference and write the next three terms of the A.P. 3,-2,-7,-12,..... 13. Find the 12th , 24th and the nth term of the A.P. given by 9 , 13 , 17 , 21 , 25 , ....... 14. Show that the sequence 9 , 12 , 15 , 18 , ...... is an A.P. find its 16th term and the general term. 15. The first term of an A.P. is -7 and the common difference 5 . Find its 18th term and the general term . 16. Determine the 10th term from the end of the A.P. 4 , 9 , 14 .... , 254 . 17. Which term of the sequence -1 , 3 , 7 , 11 ... is 95 ? 18. Which term of the sequence 4 , 9 , 14 , 19 ... , is 124 ? 19. How many terms are there in the sequence 3 , 6 , 9 , 12 , .... , 111 ? 20. For what value of n is the n th term of the fallowing two A.P’s the same ? i) 1, 7 , 13 , 19 , ... ii) 69 , 68 , 67 , .... 21. If the 8th term of an A.P. is 31 and the 15th term is 16 more than the 11th term , find the A.P. 22. Which term of the arithmetic progression 5 , 15 , 25 , ... will be 130 more than its 31st term ? 23. If the 10th term of the A.P. is 52 and 17th term is 20 more than the 13th term . find the A.P. 24. Is 184 a term of the sequence 3 , 7 , 11 , ... ? 25. Which term of the sequence 20 , 19 , 18 , 17 , ... is the first negative term ? 26. The 10th term of an A.P. is 52 and 16th term is 82 . Find the 32nd term and the general term . 27. The sum of 5th and 9th terms of an A.P. is 72 and the sum of 7th and 12th terms is 97 . Find A.P. 28. Determine the general term of an A.P. whose 7th term is -1 and 16th term 17 . 29. If five times the fifth term of an A.P. is equal to 8 times its eighth term , show that its 13th term is zero . 30. If the mth term of an A.P. be 1/n and nth term be 1/m , then show that its (mn)th term is 1 . 31. If the pth term of an A.P. is q and the qth term is P, prove that its nth term is (p+q-n) . 32. If m times the mth term of an A.P. is equal to n times its nth term , show that the (m+n)th term of the A.P. is zero . 33. If p th , qth , and rth terms of an A.P. are a , b , c respectively , then show that i) a (q-r) + b (r-p) + c (p-q) = 0 ii) (a-b) r + (b-c) p + ( c-a) q = 0 34. How many numbers of two digits are divisible by 7 ? 35. Find the number of integers between 50 and 500 which are divisible by 7 ? 36. Which term of the A.P. 3 , 15 , 27 , 39 , ... will be 132 more than its 54th term ? 37. Two A.P’s have the same common difference . The first term of one of these is 3 and that of the other is 8 . What is the difference between their ? i) 2nd terms ? ii) 4th terms ? iii) 10th terms ? iv) 30th terms ? 38. Two A.P’s have the same common difference . The difference between their 100th terms is 111 222 333 . What is the difference between their millionth terms ? 39. A sum of Rs 1000 is invested at 8% simple interest per annum . Calculate the interest at the end of 1 , 2 , 3 , ... years . Is the sequence of interest an A.P. ? Find the interest at the end of 30 years ?

Answer»

Answer:

Step-by-step explanation:

3 , 15 , 27, 39.....

First we need to calculate 54th TERM

We know that

aₙ = a + (n -1 )d

Here, a =3

d = 15 -3 =12

n = 54

Putting values in formula

a₅₄ = a + (n-1)d

= 3 + (54-1) ₓ12

=3 + 53 ₓ 12

= 3 + 636

= 639

So 54th term a₅₄

132 + 639

= 771

Therefore aₙ = 771

Putting value in formula

aₙ = a + (n-1)d

771 = 3 +(n-1) ₓ 12

771 -3 = (n-1) ₓ 12

768 /12 = n-1

64 = n-1

n = 65

65th term is 132 more than 54th term

Discussion

2.	(і) x+2y +1 = 0, 2x-3y-12 = 0 cross multiplication method
Answer» ${ \large \orange { \underline{answer : x = \frac{9}{7}and \: y = - 2 }}}$ $\mathfrak{ \large \red { \underline{ \underline{question}}}} \\ \implies{ \large{solve \: the \: equation \: by \: using \: crossmultiplication \: method }} \\ \implies{ \large{equation : x + 2y + 1 = 0 \: and \: 2x - 3y - 12 = 0}} \\ \\ \mathfrak{ \large \green { \underline{formula : }}} \\ \implies{ \large{x = \frac{(b1c2 - b2c1)}{(a1b2 - a2b1)} \: and \: y = \frac{(c1a2 - c2a1)}{(a1b2 - a2b1)} }} \\ \\ \mathfrak{ \large \blue { \underline{solution : }}} \\ \implies{ \large{a1 = 1 : b1 = 2 :c1 = 1 }} \\ \implies{ \large{a2 = 2 :b2 = - 3 :c2 = - 12 }} \\ \implies{ \large{ x = \frac{(2 \times - 12) - ( - 3 \times 1)}{(1 \times - 3) - (2 \times 2)} }} \\ \implies{ \large{y = \frac{(1 \times 2) - ( - 12 \times 1)}{(1 \times - 3) - (2 \times 2)} }} \\ \implies{ \large{x = \frac{ - 12 + 3}{ - 3 - 4} }} \\ \implies{ \large{y = \frac{2 + 12}{ - 3 - 4} }} \\ \implies{ \large{x = \frac{ - 9}{ - 7} }} \\ \implies{ \large{y = \frac{14}{ - 7} }} \\ { \large \orange { \underline{answer : x = \frac{9}{7}and \: y = - 2 }}}$

2.

(і) x+2y +1 = 0, 2x-3y-12 = 0 cross multiplication method

Answer»

${ \large \orange { \underline{answer : x = \frac{9}{7}and \: y = - 2 }}}$

$\mathfrak{ \large \red { \underline{ \underline{question}}}} \\ \implies{ \large{solve \: the \: equation \: by \: using \: crossmultiplication \: method }} \\ \implies{ \large{equation : x + 2y + 1 = 0 \: and \: 2x - 3y - 12 = 0}} \\ \\ \mathfrak{ \large \green { \underline{formula : }}} \\ \implies{ \large{x = \frac{(b1c2 - b2c1)}{(a1b2 - a2b1)} \: and \: y = \frac{(c1a2 - c2a1)}{(a1b2 - a2b1)} }} \\ \\ \mathfrak{ \large \blue { \underline{solution : }}} \\ \implies{ \large{a1 = 1 : b1 = 2 :c1 = 1 }} \\ \implies{ \large{a2 = 2 :b2 = - 3 :c2 = - 12 }} \\ \implies{ \large{ x = \frac{(2 \times - 12) - ( - 3 \times 1)}{(1 \times - 3) - (2 \times 2)} }} \\ \implies{ \large{y = \frac{(1 \times 2) - ( - 12 \times 1)}{(1 \times - 3) - (2 \times 2)} }} \\ \implies{ \large{x = \frac{ - 12 + 3}{ - 3 - 4} }} \\ \implies{ \large{y = \frac{2 + 12}{ - 3 - 4} }} \\ \implies{ \large{x = \frac{ - 9}{ - 7} }} \\ \implies{ \large{y = \frac{14}{ - 7} }} \\ { \large \orange { \underline{answer : x = \frac{9}{7}and \: y = - 2 }}}$

Discussion

3.	Angle 1 and angle 5 are ..............
Answer» ANSWER: no RELATION between these 2 angles Step-by-step EXPLANATION:

3.

Angle 1 and angle 5 are ..............

Answer»

ANSWER:

no RELATION between these 2 angles

Step-by-step EXPLANATION:

Discussion

4.	Four pairs of corresponding angles that is angle a,g,f,e and k,n,m,l
Answer» ANSWER: They are corresponding angles I didn't UNDERSTAND your QUESTION....... PLEASE which angle

4.

Four pairs of corresponding angles that is angle a,g,f,e and k,n,m,l

Answer»

ANSWER:

They are corresponding angles

I didn't UNDERSTAND your QUESTION....... PLEASE which angle

Discussion

5.	All easy questions .please ans correctly .dont spam.9th grade maths
Answer» Answer: 1) 1,2,3 respectively 2) a 3) 2 4) 8 5) 0 Step-by-step explanation: *PLEASE RATE, THANK AND MARK AS BRAINLIEST.*

5.

All easy questions .please ans correctly .dont spam.9th grade maths

Answer»

Answer:

1) 1,2,3 respectively

2) a

3) 2

4) 8

5) 0

Step-by-step explanation:

PLEASE RATE, THANK AND MARK AS BRAINLIEST.

Discussion

6.	Saransh has rupees 26000 in denomination of rupees 100 rupees 50 and rupees 10 in the ratio 2 ratio 5 ratio 7 how many notes of each does he have
Answer» TYPE your QUESTION properly CANT UNDERSTAND sorryyy!!! cant HELP

6.

Saransh has rupees 26000 in denomination of rupees 100 rupees 50 and rupees 10 in the ratio 2 ratio 5 ratio 7 how many notes of each does he have

Answer»

TYPE your QUESTION properly

CANT UNDERSTAND

sorryyy!!!

cant HELP

Discussion

7.	Find lengthof rectangle having breadth 8 units and diagonal 17 units
Answer» ANSWER: By using PYTHAGORAS theorem, (length)=√(289-64) (length)=√225 (length)= 15 UNITS..

7.

Find lengthof rectangle having breadth 8 units and diagonal 17 units

Answer»

ANSWER:

By using PYTHAGORAS theorem,

(length)=√(289-64)

(length)=√225

(length)= 15 UNITS..

Discussion

8.	Square root of 128.56 with long divison method
Answer» ANSWER: 11.33843022 Step-by-step EXPLANATION: This is the answer for this QUESTION

8.

Square root of 128.56 with long divison method

Answer»

ANSWER:

11.33843022

Step-by-step EXPLANATION:

This is the answer for this QUESTION

Discussion

9.	The sum of first n term of an arithmetic sequence is3n^2-6nCalculate first term and common difference
Answer» Step-by-step EXPLANATION: Sn=3n²-6n If n=1, then S1=3(1)²-6(1)=-3 If n=2, then S2=3(2)²-6(2) =3(4)-6(2)=12-12=0 A2=S2-S1=0-(-3)=3 S1=A=-3 d=a2-a1=3-(-3)=3+3=6. pls MARK as brailiest.

9.

The sum of first n term of an arithmetic sequence is3n^2-6nCalculate first term and common difference

Answer»

Step-by-step EXPLANATION:

Sn=3n²-6n

If n=1, then

S1=3(1)²-6(1)=-3

If n=2, then

S2=3(2)²-6(2)

=3(4)-6(2)=12-12=0

A2=S2-S1=0-(-3)=3

S1=A=-3

d=a2-a1=3-(-3)=3+3=6.

pls MARK as brailiest.

Discussion

10.	Some number can be arranged as squares.write down the first 4 square numbers?
Answer» Answer: 1 ,4,9,16 Step-by-step EXPLANATION: HOPE U UNDERSTOOD and. FOLLOW

10.

Some number can be arranged as squares.write down the first 4 square numbers?

Answer»

Answer:

1 ,4,9,16

Step-by-step EXPLANATION:

HOPE U UNDERSTOOD and. FOLLOW

Discussion

11.	Set of intersecting points of parallel limes are empty set or not
Answer» “The SET of points of intersection of two parallel lines” is an EMPTY set because two parallel lines do not INTERSECT ANYWHERE. Hence given set A is not an empty set.May 3, 2019

Discussion

12.	Divide the polynomial 3x4+5x3-7x2+2x+2 by x2+3x+1and find the quotient and remainder is the second polynomial a factor of the first
Answer» ANSWER: The QUOTIENT is 3X2 - 4X + 2 and the remainder is 0 Step-by-step EXPLANATION:

12.

Divide the polynomial 3x4+5x3-7x2+2x+2 by x2+3x+1and find the quotient and remainder is the second polynomial a factor of the first

Answer»

ANSWER:

The QUOTIENT is 3X2 - 4X + 2 and the remainder is 0

Step-by-step EXPLANATION:

Discussion

13.	Polynomials all formulas
Answer» ANSWER: Here it is I HOPE it is HELP ful Thanks!!!!!!!!

13.

Polynomials all formulas

Answer»

ANSWER:

Here it is

I HOPE it is HELP ful

Thanks!!!!!!!!

Discussion

14.	Find gratest five digit number that give us remainder 5
Answer» Answer: 8÷99941 you will GET REMINDER 5

14.

Find gratest five digit number that give us remainder 5

Answer»

Answer:

8÷99941 you will GET REMINDER 5

Discussion

15.	The hcf of two numbers is 145 and their lcm is 2175. If one number is 25 find the other
Answer» Answer: HCF of TWO NUMBERS =145 LCM of their numbers=2175 ONE number=25 other number = HCF ×LCM÷ one number => 145×2175÷25 => 315375÷25 => 12615 please mark me as brainliest

15.

The hcf of two numbers is 145 and their lcm is 2175. If one number is 25 find the other

Answer»

Answer:

HCF of TWO NUMBERS =145

LCM of their numbers=2175

ONE number=25

other number = HCF ×LCM÷ one number

=> 145×2175÷25

=> 315375÷25

=> 12615

please mark me as brainliest

Discussion

16.	A piece of a wire is 60 cm in length to form a circle.find radius and area taking pi= 3
Answer» Answer: radious = 9.55 Step-by-step EXPLANATION: AREA is equal to 286.37 CM square

16.

A piece of a wire is 60 cm in length to form a circle.find radius and area taking pi= 3

Answer»

Answer:

radious = 9.55

Step-by-step EXPLANATION:

AREA is equal to 286.37 CM square

Discussion

17.	What. Are the four digit numbers , using 3,2,4,1
Answer» ANSWER: IHG UCIE mdjdu jr8 F cf Step-by-step EXPLANATION: cuydhogohk d2gir5ez6 k4ck6ey

17.

What. Are the four digit numbers , using 3,2,4,1

Answer»

ANSWER:

IHG UCIE mdjdu jr8 F cf

Step-by-step EXPLANATION:

cuydhogohk d2gir5ez6 k4ck6ey

Discussion

18.	2a+1=1 answer is______________________
Answer» ANSWER: the VALUE of a is 0 Step-by-step explanation: 2a+1=1 2a=0 a= 0 Hope this HELPS you Mark me as BRAINLIEST

18.

2a+1=1 answer is______________________

Answer»

ANSWER:

the VALUE of a is 0

Step-by-step explanation:

2a+1=1

2a=0

a= 0

Hope this HELPS you

Mark me as BRAINLIEST

Discussion

19.	What is the values of cos theta
Answer» Step-by-step EXPLANATION: If θ be an acute angle, the VALUES of sin θ and cos θ LIES between 0 and 1 (both inclusive). sin 60° = √3/4 = √3/2; cos 90° = √(4/4) = 1.

19.

What is the values of cos theta

Answer»

Step-by-step EXPLANATION:

If θ be an acute angle, the VALUES of sin θ and cos θ LIES between 0 and 1 (both inclusive). sin 60° = √3/4 = √3/2; cos 90° = √(4/4) = 1.

Discussion

20.	If a=root 5+ root 2/root 5- root 2 and b=root 5-root 2 /root 5+root 2 find value of x square +xy +y square/x square - xy + y square 1
Answer» Step-by-step EXPLANATION: If a=root 5+ root 2/root 5- root 2 and b=root 5-root 2 /root 5+root 2 FIND VALUE of x square +XY +y square/x square - xy + y square 1

20.

If a=root 5+ root 2/root 5- root 2 and b=root 5-root 2 /root 5+root 2 find value of x square +xy +y square/x square - xy + y square 1

Answer»

Step-by-step EXPLANATION:

If a=root 5+ root 2/root 5- root 2 and b=root 5-root 2 /root 5+root 2 FIND VALUE of x square +XY +y square/x square - xy + y square 1

Discussion

21.	Find the least number which when divided by 40 and 50 and 60 leaves remainder 5 in each case.
Answer» Answer: 605 Step-by-step EXPLANATION: LCM of 40, 50 and 60 = 600 remainder is 5 in each case. so the number = 600+5 = 605

21.

Find the least number which when divided by 40 and 50 and 60 leaves remainder 5 in each case.

Answer»

Answer:

605

Step-by-step EXPLANATION:

LCM of 40, 50 and 60 = 600

remainder is 5 in each case.

so the number = 600+5 = 605

Discussion

22.	Four rational equivalent to 4/-9
Answer» ANSWER: *HOPE this HELPS you* *Mark me as BRAINLIEST*

22.

Four rational equivalent to 4/-9

Answer»

ANSWER:

HOPE this HELPS you

Mark me as BRAINLIEST

Discussion

23.	Rationalis the denominator (12 +/5)(12-85)
Answer» ANSWER: SORRY sorry sorry sorry sorry sorry sorry

23.

Rationalis the denominator (12 +/5)(12-85)

Answer»

ANSWER:

SORRY sorry sorry sorry sorry sorry sorry

Discussion

24.	2b^2+b-528=0please factorise it........the one who give the answer I will mark him/her ans as brainlist
Answer» Step-by-step EXPLANATION: it ANSWER ishelp FUL for you

24.

2b^2+b-528=0please factorise it........the one who give the answer I will mark him/her ans as brainlist

Answer»

Step-by-step EXPLANATION:

it ANSWER ishelp FUL for you

Discussion

25.	Find the HCF prime factorization 40,56,60 Divition Type .. Explain plz
Answer» Step-by-step EXPLANATION: PLEASE MARK me as BRANLIEST

25.

Find the HCF prime factorization 40,56,60 Divition Type .. Explain plz

Answer»

Step-by-step EXPLANATION:

PLEASE MARK me as BRANLIEST

Discussion

26.	2. IF 1 is added to the numerator of a certain fractionits value becomes 2 and it is added to its denometer. Find the original fraction.
Answer» ANSWER: I will TRY to do PLZ MARK me on BRAINLIEST

26.

2. IF 1 is added to the numerator of a certain fractionits value becomes 2 and it is added to its denometer. Find the original fraction.

Answer»

ANSWER:

I will TRY to do PLZ MARK me on BRAINLIEST

Discussion

27.	Solve 58(-103) using suitable property
Answer» Answer: 58×-103 = -5974 ............

27.

Solve 58(-103) using suitable property

Answer»

Answer:

58×-103

= -5974

............

Discussion

28.	If the latus rectum of an ellipse makes anequilateral triangle at the centre then e =
Answer» The ECCENTRICITY e of the ellipse is √3/2 Step-by-step explanation: Let the ellipse be $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ Any point on the ellipse will be $(a\cos\tehta, b\sin\theta)$ If the latus rectum of ellipse MAKES an equilateral triangle Then the major axis will BISECT its one of the angle which will be equal to $30^\circ$ Therefore, we can say that one vertex of the triangle that lies on the ellipse will be $(\a\cos 30^\circ, b\sin 30^\circ)$ or, $(\frac{\sqrt{3}a}{2}, \frac{b}{2})$ The focus of the ellipse will be $(\frac{\sqrt{3}a}{2}, 0)$ But We know that focus of ellipse is $(ae, 0)$ Therefore, comparing both we get $e=\sqrt{3}/2$ Hope this answer is helpful. Know More: Q: If the LENGTH of the latus rectum of an ellipse is 4 units and the distance between a focus and its nearest vertex on the major axis is 3 2 units, then its eccentricity is: Click Here: brainly.in/question/7470205

28.

If the latus rectum of an ellipse makes anequilateral triangle at the centre then e =

Answer»

The ECCENTRICITY e of the ellipse is √3/2

Step-by-step explanation:

Let the ellipse be

$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$

Any point on the ellipse will be $(a\cos\tehta, b\sin\theta)$

If the latus rectum of ellipse MAKES an equilateral triangle

Then the major axis will BISECT its one of the angle which will be equal to $30^\circ$

Therefore, we can say that one vertex of the triangle that lies on the ellipse will be

$(\a\cos 30^\circ, b\sin 30^\circ)$

or, $(\frac{\sqrt{3}a}{2}, \frac{b}{2})$

The focus of the ellipse will be $(\frac{\sqrt{3}a}{2}, 0)$

But

We know that focus of ellipse is $(ae, 0)$

Therefore, comparing both we get

$e=\sqrt{3}/2$

Hope this answer is helpful.

Know More:

Q: If the LENGTH of the latus rectum of an ellipse is 4 units and the distance between a focus and its nearest vertex on the major axis is 3 2 units, then its eccentricity is:

Click Here: brainly.in/question/7470205

Discussion

29.	Define arithmetic progression
Answer» Step-by-step EXPLANATION: here is your ANSWER dear✍️ hope it will be helpful to you ✌️ ITZ ESSAR 03 ❤️

29.

Define arithmetic progression

Answer»

Step-by-step EXPLANATION:

here is your ANSWER dear✍️

hope it will be helpful to you ✌️

ITZ ESSAR 03 ❤️

Discussion

30.	एक्सप्रेस इन सेक्टर 9 पी स्क्वायर माइनस 16 स्क्वायर
Answer» Step-by-step EXPLANATION: I HOPE you will be UNDERSTOOD

30.

एक्सप्रेस इन सेक्टर 9 पी स्क्वायर माइनस 16 स्क्वायर

Answer»

Step-by-step EXPLANATION:

I HOPE you will be UNDERSTOOD

Discussion

31.	if the mean weight of a class of 34 student is 42 kg. if the weight of the teacher be included, the weight rises by 400 grams. find the weight of the teacher
Answer» total WEIGHT of all students=3442=1428 after inclusion of teacher =3542.4=1484 difference bw them=56=weight of teacher. . 7 years agoHelpfull: Yes(3) No(0) ((42*34)+X)/35=42+0.400 if we solve this then x=56 weight of teacher is=567 years AVG of 34 s = 42 hence total weight = 1428 avg 35(34+teacher)=42.4 hence total weight=1484 differnce of two=56 (AGE of teacher)7 years ago IՏ IT ᕼᗴᒪᑭᖴᑌᒪ ? YᗴՏ = ᖴOᒪᒪOᗯ ᑎO = TᕼᗩᑎKՏ

31.

if the mean weight of a class of 34 student is 42 kg. if the weight of the teacher be included, the weight rises by 400 grams. find the weight of the teacher

Answer»

total WEIGHT of all students=34*42=1428

after inclusion of teacher =35*42.4=1484

difference bw them=56=weight of teacher.

.

7 years agoHelpfull: Yes(3) No(0) ((42*34)+X)/35=42+0.400

if we solve this then x=56

weight of teacher is=567 years

AVG of 34 s = 42 hence total weight = 1428

avg 35(34+teacher)=42.4 hence total weight=1484

differnce of two=56 (AGE of teacher)7 years ago

IՏ IT ᕼᗴᒪᑭᖴᑌᒪ ?

YᗴՏ = ᖴOᒪᒪOᗯ

ᑎO = TᕼᗩᑎKՏ

Discussion

32.	Convert50 km into meter20 gm into kilogram
Answer» ANSWER: SEE the FOLLOWING PIC.....

32.

Convert50 km into meter20 gm into kilogram

Answer»

ANSWER:

SEE the FOLLOWING PIC.....

Discussion

33.	Find the inverse usin elementary row transformation of [2 -1 3][-5 3 1][-3 2 3]
Answer» Answer: 50+50 is the only THING

33.

Find the inverse usin elementary row transformation of [2 -1 3][-5 3 1][-3 2 3]

Answer»

Answer:

50+50 is the only THING

Discussion

34.	4+3root5/4-root5=a+b root5
Answer» Answer: = 4 + 3√5 / 4 - 3√5= 4 + 3√5 / 4 - 3√5 × 4 + 3√5 / 4 + 3√5= [ (4)² + 2 (4) (3√5) ... More 88 votes Answer:Here is the answer in a very easy method. Hope it MAY HELP you. More

34.

4+3root5/4-root5=a+b root5

Answer»

Answer:

= 4 + 3√5 / 4 - 3√5= 4 + 3√5 / 4 - 3√5 × 4 + 3√5 / 4 + 3√5= [ (4)² + 2 (4) (3√5) ... More

88 votes

Answer:Here is the answer in a very easy method. Hope it MAY HELP you. More

Discussion

35.	Simplify the equation 7892 x 999
Answer» ANSWER: The answer will be => 7,884,108

35.

Simplify the equation 7892 x 999

Answer»

ANSWER:

The answer will be

=> 7,884,108

Discussion

36.	Q12. The table shows the lowest recorded temperatures for each continent.Write the continents in order from the lowest recorded temperatureto the highest recorded temperature.ContinentIndiaTemperature (In F)-80-129-11AustraliaAfricaEuropeNorth America-140-97Q13. a) Write a positive and a negative integer whose
Answer» Answer: Step-by-step explanation: The CONTINENTS in order from the lowest recorded temperature to the highest recorded temperature is : Antarctica (–129°), Asia (-90°), N. America (-81°), Europe (-67°), S. America (-27)°, Africa( 11°), AUSTRALIA (-9°). PLEASE MARK ME AS BRAINILIST. THANK YOU

36.

Q12. The table shows the lowest recorded temperatures for each continent.Write the continents in order from the lowest recorded temperatureto the highest recorded temperature.ContinentIndiaTemperature (In F)-80-129-11AustraliaAfricaEuropeNorth America-140-97Q13. a) Write a positive and a negative integer whose

Answer»

Answer:

Step-by-step explanation:

The CONTINENTS in order from the lowest recorded temperature to the highest recorded temperature is : Antarctica (–129°), Asia (-90°), N. America (-81°), Europe (-67°), S. America (-27)°, Africa( 11°), AUSTRALIA (-9°).

PLEASE MARK ME AS BRAINILIST. THANK YOU

Discussion

37.	Write an A.P. having 4 as the first term and -3 as the common difference
Answer» Answer: Hope my answer HELPS you MATE :-) Step-by-step explanation: An A. P. *Runs* in *following* *PROCESS* a, a+d,a+2d,a+3d,........... 4,1,-2,-5........ *Mark* as *BRAINLIEST* *answer* *and* *follow* me ✔️☑️⭐

37.

Write an A.P. having 4 as the first term and -3 as the common difference

Answer»

Answer:

Hope my answer HELPS you MATE :-)

Step-by-step explanation:

An A. P. Runs in following PROCESS

a, a+d,a+2d,a+3d,...........

4,1,-2,-5........

Mark as BRAINLIEST answer and follow me ✔️☑️⭐

Discussion

38.	Express 34.5/2.25 in a simplest form
Answer» Answer: 15.34 Step-by-step explanation: 34.5/2.25 =3450/225 =15.34(APPROXIMATE)

38.

Express 34.5/2.25 in a simplest form

Answer»

Answer:

15.34

Step-by-step explanation:

34.5/2.25

=3450/225

=15.34(APPROXIMATE)

Discussion

39.	write the decimal form of the following numbers.and also write what kind of decimal expansion is it 1) 276/300
Answer» ANSWER: the decision.of 276/300 is 0.90 and I WIL about what KIND of DECIMALS

39.

write the decimal form of the following numbers.and also write what kind of decimal expansion is it 1) 276/300

Answer»

ANSWER:

the decision.of 276/300 is 0.90 and I WIL about what KIND of DECIMALS

Discussion

40.	represent data for increase of COVID 19 in lockdown 3 for first two weeks in india by double bar graph
Answer» ANSWER: LOCKDOWN 4 has STARTED in our REIGON but here is your ans

40.

represent data for increase of COVID 19 in lockdown 3 for first two weeks in india by double bar graph

Answer»

ANSWER:

LOCKDOWN 4 has STARTED in our REIGON but here is your ans

Discussion

41.	An elevator descends into a mine shaft at the rate of 6m/min.If the descent starts from 10m above the ground level, how long will it take to reach -350m. Can anyone explain this question ?
Answer» ANSWER: Step-by-step explanation: 60 MINUTES as it STARTS from 10M and go till -350 so 360 in total at 6m/pm.

41.

An elevator descends into a mine shaft at the rate of 6m/min.If the descent starts from 10m above the ground level, how long will it take to reach -350m. Can anyone explain this question ?

Answer»

ANSWER:

Step-by-step explanation:

60 MINUTES as it STARTS from 10M and go till -350 so 360 in total at 6m/pm.

Discussion

42.	√49\4+144 how to solve the question
Answer» ANSWER: $\sqrt{49} \div 148 \\ = 7 \div 148 \\ = 0.047$

42.

√49\4+144 how to solve the question

Answer»

ANSWER:

$\sqrt{49} \div 148 \\ = 7 \div 148 \\ = 0.047$

Discussion

43.	17increasegives a finalamount of 404
Answer» Step-by-step EXPLANATION: CLEAR your ANSWER FIRST .OK

43.

17increasegives a finalamount of 404

Answer»

Step-by-step EXPLANATION:

CLEAR your ANSWER FIRST .OK

Discussion

44.	A man uses 9 cm to represent 252 km. If the distance between the two cities on a map is 21 cm, how many kilometres apart are the cities?
Answer» Answer : 588 km Step-by-step EXPLANATION: A certain cartographer TOOK 9cm to represent a actual distance of 252km 252 km = 252 × 10^5 cm therefore , 9 cm = 252 × 10^5 cm therefore distance indicated by 1cm 1 cm = 252×10^5 9 1cm = 28×10^5 If on the same map the distance between two cities is 21 cm , then the actual distance between them is, 21 cm = (28×10^5 ) × 21 cm =(28×21) × 10^5 cm = 588 × 10^5 cm therefore , 21 cm = 588×10^5 to convert the actual distance into 'km ' 21 cm = 588×10^5 1,00,000 21 cm = 588 km therefore the actual distance between the two cities is 588 km PLEASE MARK ME AS BRAINLIEST !!!!!!

44.

A man uses 9 cm to represent 252 km. If the distance between the two cities on a map is 21 cm, how many kilometres apart are the cities?

Answer»

Answer : 588 km

Step-by-step EXPLANATION:

A certain cartographer TOOK 9cm to represent a actual distance of 252km

252 km = 252 × 10^5 cm

therefore ,

9 cm = 252 × 10^5 cm

therefore distance indicated by 1cm

1 cm = 252×10^5

9

1cm = 28×10^5

If on the same map the distance between two cities is 21 cm , then the actual distance between them is,

21 cm = (28×10^5 ) × 21 cm

=(28×21) × 10^5 cm

= 588 × 10^5 cm

therefore ,

21 cm = 588×10^5

to convert the actual distance into 'km '

21 cm = 588×10^5

1,00,000

21 cm = 588 km

therefore the actual distance between the two cities is 588 km

PLEASE MARK ME AS BRAINLIEST !!!!!!

Discussion

45.	In the given figure L\|\|m\|\|n. p\|l . if
Answer» Answer: L PARALLEL to n hence ANGLE BEA = angle EAC 90 degree = angle EAC therefore angle EAC = 90 degree given angle BAC = 55 degree angle EAC = angle BAC+anglePAB 90 degree = angle BAC + angle PAB angle PAB =( 90 -55 ) degree = 35 degree angle PAB=Z therefore angle z=35 degree angle Z +angle AFD + angle FDA=180 degree (triangle SUM property) 35+90+angle FDA= 180 degree angle FDA = 180 - 125=75degree angle FDA+angle y = 180 degree ( exterior angle property) angle y= 180 - 75 = 125 degree therefore y= 125 degree angle y=angle x since parallel to m therefore x = 125 degree X=125 degree Y=125 degree Z=35 degree. I hope this is help for you ..... plz FOLLOW me

45.

In the given figure L||m||n. p|l . if

Answer»

Answer:

L PARALLEL to n hence ANGLE BEA = angle EAC

90 degree = angle EAC

therefore angle EAC = 90 degree

given angle BAC = 55 degree

angle EAC = angle BAC+anglePAB

90 degree = angle BAC + angle PAB

angle PAB =( 90 -55 ) degree

= 35 degree

angle PAB=Z

therefore angle z=35 degree

angle Z +angle AFD + angle FDA=180 degree (triangle SUM property)

35+90+angle FDA= 180 degree

angle FDA = 180 - 125=75degree

angle FDA+angle y = 180 degree ( exterior angle property)

angle y= 180 - 75 = 125 degree

therefore y= 125 degree

angle y=angle x since parallel to m

therefore x = 125 degree

X=125 degree

Y=125 degree

Z=35 degree.

I hope this is help for you .....

plz FOLLOW me

Discussion

46.	7a in 7abxbxiii. Bin a? - 8ax +a -axta1.5 Add 6-3a +b; a -7 -6b and 3b +2-a.0.6 Add 3b - 7€ +10,5c - 2b - 15,15+12c +b2.7 Evaluate: 3x2 +5xy - 4y2+x2 - 8xy - 5y22.8 Evaluate: 5x - (3x - 4x)
Answer» ANSWER: ....................

46.

7a in 7abxbxiii. Bin a? - 8ax +a -axta1.5 Add 6-3a +b; a -7 -6b and 3b +2-a.0.6 Add 3b - 7€ +10,5c - 2b - 15,15+12c +b2.7 Evaluate: 3x2 +5xy - 4y2+x2 - 8xy - 5y22.8 Evaluate: 5x - (3x - 4x)

Answer»

ANSWER:

....................

Discussion

47.	Collect information on the concept of Liberty, Equality and Fraternityembodied in the constitution of India. Find out how these conceptswere first raised and championed during the French Revolution.
Answer» ANSWER: LIBERTY is TH FREEDOM to live our life as we want to live

47.

Collect information on the concept of Liberty, Equality and Fraternityembodied in the constitution of India. Find out how these conceptswere first raised and championed during the French Revolution.

Answer»

ANSWER:

LIBERTY is TH FREEDOM to live our life as we want to live

Discussion

48.	If the sum of two digit no.and number obtained by reversing the digits is 36 ,find the sum of the 2 digit number.
Answer» ANSWER: the answer is when REVISING the 36 so 63

48.

If the sum of two digit no.and number obtained by reversing the digits is 36 ,find the sum of the 2 digit number.

Answer»

ANSWER:

the answer is

when REVISING the 36

so 63

Discussion

49.	Pls help me by solving the question 9 or 10 your wish
Answer» Step-by-step EXPLANATION: ANSWER is given I HOPE it HELPFUL

49.

Pls help me by solving the question 9 or 10 your wish

Answer»

Step-by-step EXPLANATION:

ANSWER is given

I HOPE it HELPFUL

Discussion

50.	Division of polynomial with multiple terms 8x³+4x²+16x by 2x
Answer» Step-by-step explanation: take 2x common from the DIVISOR you will get 4 x SQUARE + 2 X + 8 as the QUOTIENT.

50.

Division of polynomial with multiple terms 8x³+4x²+16x by 2x

Answer»

Step-by-step explanation:

take 2x common from the DIVISOR you will get 4 x SQUARE + 2 X + 8 as the QUOTIENT.

Discussion

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