332354 + Interview Questions in Secondary School in Math

1.	Write the the HCF of smallest composite number and the smallest positive number
Answer» ONG>Answer: H.C.F of the smallest PRIME NUMBER and the smallest COMPOSITE number is 2.

Discussion

2.	An ant is moving around a few food pieces of different shapes scattered on the floor. For which food piece would the ant have to take longer round? Remember circumference of a circle can be obtained by using the expression, where r is the radius of the circle
Answer» ONG>Step-by-step explanation: SUGAR sugarcane FOOD

Discussion

3.	Find the area of a rectangle whose length is 4xsquareycube and width is which is respectively 2xysquare
Answer» ONG>Answer: 4x4=16 2x2=4 16+4=20 ans=20

3.

Find the area of a rectangle whose length is 4xsquareycube and width is which is respectively 2xysquare

Answer» ONG>Answer:

4x4=16

2x2=4

16+4=20

ans=20

Discussion

4.	Find the amount and compound interest on sum of ₹10000 at 10% per annum for 2 years compounded annually
Answer» ONG>Step-by-step explanation: 10000/10=1000×2=2000

Discussion

5.	Can you send me an paragraph on a journey to a thousand miles begin with a single step
Answer» TZU was indeed right when he said a journey of thousand miles begins with a single step. We all come across huge challenges in life, but those who are highly determined and dedicated overcome them. If we sit back and do nothing about what we have to pursue or achieve nothing will happen. For a change to take place we must begin to change ourselves. We must change our ATTITUDE towards everything in life. We need to think more positively and look into every aspect from a more positive mindset. Taking the first step is the most difficult thing whatever we do but in order to achieve our goals, we must begin with that crucial first step. If we sit back and keep thinking as to how we will achieve our goals that lie on the Himalayas we will end up nowhere. Those people who reached the tip of Himalayas had to begin somewhere only then they were able to accomplish their goal. If they had just sat and thought about the ordeal they had to face they would not have MADE anywhere. In order to achieve our goals, we must be in a positive state of mind. We must believe in ourselves and in our ability. With positive mental attitude, we can achieve anything we want to achieve no matter how difficult it is. It is just our thoughts that we need to change. Thoughts are the driving force of every human and it is something that we can control. By controlling our thoughts, we can either lead to a positive path or negative path. It solely depends on us which way we opt for. Having a positive mental attitude is the most important thing to reaching our final destination. Challenges come on our way, but we need to keep a positive attitude and believe that challenges are temporary and we can overcome them with positivity and sheer determination. We must take that crucial first step whatever we want to achieve. Once we get into it by taking the first step we will find our way with time. No matter how far your destiny is you can begin your journey by taking the first step. Have the courage, be determined and dedicated to what you want to achieve in life. Everything is POSSIBLE, but you need to begin somewhere and take the first step.

5.

Can you send me an paragraph on a journey to a thousand miles begin with a single step

Answer» TZU was indeed right when he said a journey of thousand miles begins with a single step. We all come across huge challenges in life, but those who are highly determined and dedicated overcome them. If we sit back and do nothing about what we have to pursue or achieve nothing will happen. For a change to take place we must begin to change ourselves. We must change our ATTITUDE towards everything in life. We need to think more positively and look into every aspect from a more positive mindset. Taking the first step is the most difficult thing whatever we do but in order to achieve our goals, we must begin with that crucial first step. If we sit back and keep thinking as to how we will achieve our goals that lie on the Himalayas we will end up nowhere.

Those people who reached the tip of Himalayas had to begin somewhere only then they were able to accomplish their goal. If they had just sat and thought about the ordeal they had to face they would not have MADE anywhere. In order to achieve our goals, we must be in a positive state of mind. We must believe in ourselves and in our ability. With positive mental attitude, we can achieve anything we want to achieve no matter how difficult it is. It is just our thoughts that we need to change. Thoughts are the driving force of every human and it is something that we can control. By controlling our thoughts, we can either lead to a positive path or negative path. It solely depends on us which way we opt for. Having a positive mental attitude is the most important thing to reaching our final destination. Challenges come on our way, but we need to keep a positive attitude and believe that challenges are temporary and we can overcome them with positivity and sheer determination.

We must take that crucial first step whatever we want to achieve. Once we get into it by taking the first step we will find our way with time. No matter how far your destiny is you can begin your journey by taking the first step. Have the courage, be determined and dedicated to what you want to achieve in life. Everything is POSSIBLE, but you need to begin somewhere and take the first step.

Discussion

6.	If the speed of motor boat is 20 km per hour, then it will cover _ meter in 3 hours
Answer» ong>Answer: HENCE upstream SPEED = 60 – 15 = 45 KM/hr. So time taken to cover 20 km = 20/45*60 = 26.67min.

6.

If the speed of motor boat is 20 km per hour, then it will cover _ meter in 3 hours

Answer»

ong>Answer:

HENCE upstream SPEED = 60 – 15 = 45 KM/hr. So time taken to cover 20 km = 20/45*60 = 26.67min.

Discussion

7.	By what number should (-3/2)-cube be divided so that quotient is(9/4) -squar
Answer» ONG>Answer: 2/3 = 0.666666 Step-by-step EXPLANATION: -27/8 ×16/81=2/3=0.6666666

7.

By what number should (-3/2)-cube be divided so that quotient is(9/4) -squar

Answer» ONG>Answer:

2/3 = 0.666666

Step-by-step EXPLANATION:

-27/8 ×16/81=2/3=0.6666666

Discussion

8.	60×___ =24 please help me find the answer also help me understand it
Answer» p> let us ASSUME that 60x=24 (Now DIVIDE both sides by 60) 60x/60=24/60 x=0.4 or x=2/5 Hope this HELPS

8.

60×___ =24 please help me find the answer also help me understand it

Answer»

p>

let us ASSUME that

60*x=24

(Now DIVIDE both sides by 60)

60*x/60=24/60

x=0.4

or

x=2/5

Hope this HELPS

Discussion

9.	Solve (-2)4 - (2)0 x (-2)6 divided by 4
Answer» ONG>ANSWER: I HOPE it's HELPFUL for you

9.

Solve (-2)4 - (2)0 x (-2)6 divided by 4

Answer» ONG>ANSWER:

I HOPE it's HELPFUL for you

Discussion

10.	Write the additive inverse of -620
Answer» ONG>Answer: 620 I HOPE it HELPS!

10.

Write the additive inverse of -620

Answer» ONG>Answer:

620

I HOPE it HELPS!

Discussion

11.	What’s the difference between (2.6) and (-7/5)
Answer» ong>ANSWER: DISTANCE ^2=(23)^2+(6+5)^2 1+121 122

11.

What’s the difference between (2.6) and (-7/5)

Answer»

ong>ANSWER:

DISTANCE ^2=(23)^2+(6+5)^2

1+121 122

Discussion

12.	Solve and send answer pls it is urgent
Answer» ong>Answer: c) XYLEM Step-by-step EXPLANATION: xylem is a CONDUCTIVE TISSUE in PLANTS...

12.

Solve and send answer pls it is urgent

Answer»

ong>Answer:

c) XYLEM

Step-by-step EXPLANATION:

xylem is a CONDUCTIVE TISSUE in PLANTS...

Discussion

13.	P (x)=x□-3X+2 THEN P(-1)?
Answer» ONG>ANSWER: p(-1)= 6 Step-by-step EXPLANATION: p(-1)= (-1)^2 - 3(-1) + 2 = 1 + 3 + 2 p(-1)= 6

13.

P (x)=x□-3X+2 THEN P(-1)?

Answer» ONG>ANSWER:

p(-1)= 6

Step-by-step EXPLANATION:

p(-1)= (-1)^2 - 3(-1) + 2

= 1 + 3 + 2

p(-1)= 6

Discussion

14.	Write 3 pairs of angle which are not adjacent
Answer» ong>ANSWER: Vertical ANGLES are not ADJACENT. ∠1 and ∠3 are not vertical angles (they are a linear PAIR). Vertical angles are always equal in measure. Vertical angles are congruent.

14.

Write 3 pairs of angle which are not adjacent

Answer»

ong>ANSWER:

Vertical ANGLES are not ADJACENT. ∠1 and ∠3 are not vertical angles (they are a linear PAIR). Vertical angles are always equal in measure. Vertical angles are congruent.

Discussion

15.	Which smallest natural number is to be added with 1086 to make it a perfect square?
Answer» ONG>ANSWER: 3 Step-by-step explanation: 1086+3 =1089 √1089= 33 pls MARK as the BRAINLIEST answer

15.

Which smallest natural number is to be added with 1086 to make it a perfect square?

Answer» ONG>ANSWER:

3

Step-by-step explanation:

1086+3 =1089

√1089= 33

pls MARK as the BRAINLIEST answer

Discussion

16.	Find the value of x in 2/3:4/7::1 5/6:x
Answer» X=4/715/6 X= 4/715/6*3/2 15/7 is the CORRECT ANSWER

16.

Find the value of x in 2/3:4/7::1 5/6:x

Answer»

X=4/7*15/6

X= 4/7*15/6*3/2

15/7 is the CORRECT ANSWER

Discussion

17.	Subtract the first rational number from the second a. 3/8 , 5/8 b. -8/33, -7/22
Answer» and 5/8 Both the DENOMINATORS are same. so just SUBTRACT the NUMERATORS. a) 2/8 -8/33 and -7/22 LCM of 33 and 22 is 66 -8×2/33×2 = -16/66 -7×3/22×3 = -21/66 b) -5/66

17.

Subtract the first rational number from the second a. 3/8 , 5/8 b. -8/33, -7/22

Answer»

and 5/8

Both the DENOMINATORS are same. so just SUBTRACT the NUMERATORS.

a) 2/8

-8/33 and -7/22

LCM of 33 and 22 is 66

-8×2/33×2 = -16/66

-7×3/22×3 = -21/66

b) -5/66

Discussion

18.	Two men and 3 boys can finish a piece of work in 4 days. While 3 men and 3 boys can finish it in 3 days. How many days would 1 boy take to finish the work
Answer» ong>Answer: 36 Days Step-by-step EXPLANATION: Equate the complete work or total work 3B+2M=4 3M+3B=3 Total work will be (3B+2M)4=(3M+3B)3 By SOLVING this you will GET the efficiency ration of MAN and boy M/B=3/1 put the value of efficiency in eq. of total work (31+23)*4 we get total work as 36 units Now efficiency of a boy is 1 unit .He will Take 36 days to complete the total work alone

18.

Two men and 3 boys can finish a piece of work in 4 days. While 3 men and 3 boys can finish it in 3 days. How many days would 1 boy take to finish the work

Answer»

ong>Answer: 36 Days

Step-by-step EXPLANATION:

Equate the complete work or total work

3B+2M=4

3M+3B=3

Total work will be

(3B+2M)*4=(3M+3B)*3

By SOLVING this you will GET the efficiency ration of MAN and boy

M/B=3/1

put the value of efficiency in eq. of total work

(3*1+2*3)*4

we get total work as 36 units

Now efficiency of a boy is 1 unit

.He will Take 36 days to complete the total work alone

Discussion

19.	17-x/25-x=31-x/47-x
Answer» ong>Answer: Step-by-step explanation: assume that X is subtracted from each of the NUMBER 17-x, 25-x, 31-x, 47-x are in proportion (17-x)/ (25-x )= (31-x)/ (47-x) (17-x) (47-x) = (25-x) (31-x) 799-17x-47x+x2 = 775-25x-31x+x2-64x+799 = -56x+775 8x = 24 x=3 PLZE follow me

19.

17-x/25-x=31-x/47-x

Answer»

ong>Answer:

Step-by-step explanation:

assume that X is subtracted from each of the NUMBER 17-x, 25-x, 31-x, 47-x are in proportion (17-x)/ (25-x )= (31-x)/ (47-x) (17-x) (47-x)

= (25-x) (31-x) 799-17x-47x+x2 = 775-25x-31x+x2-64x+799 = -56x+775 8x = 24

x=3

PLZE follow me

Discussion

20.	If P = {1, 2, 3, 4, 5} and P∪Q = {1, 2, 3, 4, 5, 6, 7}, list the elements in set Q. *
Answer» ONG>ANSWER: q={1,2,3,4,5,6,7} Step-by-step EXPLANATION: this ch of CLASS 1

20.

If P = {1, 2, 3, 4, 5} and P∪Q = {1, 2, 3, 4, 5, 6, 7}, list the elements in set Q. *

Answer» ONG>ANSWER:

q={1,2,3,4,5,6,7}

Step-by-step EXPLANATION:

this ch of CLASS 1

Discussion

21.	5x+1/3=2-3x Simple equation
Answer» ONG>ANSWER: x=5/14 Step-by-step explanation: 5x+1/3=2-3x 5x+1=6-9x 5x+9x=5 14 x=5 x=5/14

21.

5x+1/3=2-3x Simple equation

Answer» ONG>ANSWER:

x=5/14

Step-by-step explanation:

5x+1/3=2-3x

5x+1=6-9x

5x+9x=5

14 x=5

x=5/14

Discussion

22.	Divide p(x) = x+3x²-1 by 1+x
Answer» ONG>This is *your* *ànswe* *plzzzz* *follow* me *and* *MARK* me as *BRAINLIEST*

22.

Divide p(x) = x+3x²-1 by 1+x

Answer» ONG>This is your ànswe

plzzzz follow me and MARK me as BRAINLIEST

Discussion

23.	If sin A = 1/half then find the value of cosA
Answer» ONG>Step-by-step EXPLANATION: this is your ANSWER ......................

Discussion

24.	Simplify (1) 2 power raise to 5 by 6 into 2 power raise to 1 by 6
Answer» ONG>ANSWER: HELLO Step-by-step EXPLANATION: hello

24.

Simplify (1) 2 power raise to 5 by 6 into 2 power raise to 1 by 6

Answer» ONG>ANSWER: HELLO

Step-by-step EXPLANATION:

hello

Discussion

25.	While drawing histogram mark is put on
Answer» ong>Answer: Step-by-step EXPLANATION: A rule of THUMB is to use a histogram when the data set consists of 100 VALUES or more. A histogram consists ... discrete data. Watch the following video for an example of how to draw a histogram. ... Time series graphs make trends easy to spot. Mark as BRAINLIST

25.

While drawing histogram mark is put on

Answer»

ong>Answer:

Step-by-step EXPLANATION: A rule of THUMB is to use a histogram when the data set consists of 100 VALUES or more. A histogram consists ... discrete data. Watch the following video for an example of how to draw a histogram. ... Time series graphs make trends easy to spot.

Mark as BRAINLIST

Discussion

26.	গনিত ;1. 625 এর বর্গমূল নির্নয় কর ।144
Answer» ong>ANSWER: Sorry I can't UNDERSTAND this language Step-by-step explanation: PLEASE MARK a brainlist and follow me

26.

গনিত ;1. 625 এর বর্গমূল নির্নয় কর ।144

Answer»

ong>ANSWER:

Sorry I can't UNDERSTAND this language

Step-by-step explanation:

PLEASE MARK a brainlist and follow me

Discussion

27.	एबीसीडी इज अ ट्रायंगल राइट एंगेल्ड अट सी ए लाइन थ्रू द मिड पॉइंट ऑफ हाईपॉटेसिस एबी एंड पैरेलल टो बीसी इंटरसिटी सीआईडी शो दैट d is the mid point of ac
Answer» ONG>ANSWER: I FIG the botllr in the STONE

Discussion

28.	mike rounds as whole number to the nearest 3000 . A different whole number rounded to its nearst 10,produces the same result of 3000. What is the minimum differene between the two numbers ?
Answer» ONG>ANSWER: Step-by-step EXPLANATION: HELLO

28.

mike rounds as whole number to the nearest 3000 . A different whole number rounded to its nearst 10,produces the same result of 3000. What is the minimum differene between the two numbers ?

Answer» ONG>ANSWER:

Step-by-step EXPLANATION: HELLO

Discussion

29.	Express 22°30'in redian
Answer» ONG>Answer: 22 30' =−(20+30) =−(20+ 60 30 ) =− 2 45 = 2 45 180 π = 8 π

29.

Express 22°30'in redian

Answer» ONG>Answer:

22 30'

=−(20+30)

=−(20+

60

30

)

=−

2

45

=

2

45

180

π

=

8

π

Discussion

30.	Which smallest natural number is to be subtracted from 786 to make it a perfect square?
Answer» ong>Answer:What is the LEAST number to be SUBTRACTED from 2486 to make it a perfect square? 50^2=2,500, so the next square down is 49^2. 49^2=2401 2486–2401=85 85 Step-by-step EXPLANATION:

30.

Which smallest natural number is to be subtracted from 786 to make it a perfect square?

Answer»

ong>Answer:What is the LEAST number to be SUBTRACTED from 2486 to make it a perfect square?

50^2=2,500, so the next square down is 49^2.

49^2=2401

2486–2401=85

85

Step-by-step EXPLANATION:

Discussion

31.	Find 10 th term from end of the 4 ,9 ,14,25
Answer» d=5,n=10 tn= a+(n-1) d tn= 4+(10-1) 5 tn= 4+9×5 tn= 4+45 tn= 49 so, the 10TH TERM is 49

31.

Find 10 th term from end of the 4 ,9 ,14,25

Answer»

d=5,n=10

tn= a+(n-1) d

tn= 4+(10-1) 5

tn= 4+9×5

tn= 4+45

tn= 49

so, the 10TH TERM is 49

Discussion

32.	If the hcf of 65 and 117 is expressible in the form 65m-117 find the value of m
Answer» ong>ANSWER: $< 60 >$ Step-by-step EXPLANATION: please MARK me as a BRIANLIEST

32.

If the hcf of 65 and 117 is expressible in the form 65m-117 find the value of m

Answer»

ong>ANSWER:

$< 60 >$

Step-by-step EXPLANATION:

please MARK me as a BRIANLIEST

Discussion

33.	Find the number whose 12 % is 4 metre 80 centimetre?
Answer» ONG>ANSWER: Bot help all MAKE bot BRAINLIST

Discussion

34.	1. Write the additiveadditive inverse of-6- 5А A
Answer» this is your answer additive INVERSE of -6 is +6 additive inverse of - 5 is +5

34.

1. Write the additiveadditive inverse of-6- 5А A

Answer»

this is your answer

additive INVERSE of -6 is +6

additive inverse of - 5 is +5

Discussion

35.	Factorize 2√2a3-3√3b3
Answer» ong>ANSWER: (√2a - √3b) ( 2a² + 3b² + √6ab) Step-by-step explanation: 2√2a³ - 3√3b³ = (√2a)³ - (√3b)³ = (√2a - √3b)³ + 3√6ab(√2a - √3b) =(√2a - √3b) [ (√2a - √3b)² + 3√6ab] =(√2a - √3b) ( 2a² + 3b² + √6ab) Hope this helps! Please mark as brainliest

35.

Factorize 2√2a3-3√3b3

Answer»

ong>ANSWER:

(√2a - √3b) ( 2a² + 3b² + √6ab)

Step-by-step explanation:

2√2a³ - 3√3b³

= (√2a)³ - (√3b)³

= (√2a - √3b)³ + 3√6ab(√2a - √3b)

=(√2a - √3b) [ (√2a - √3b)² + 3√6ab]

=(√2a - √3b) ( 2a² + 3b² + √6ab)

Hope this helps!

Please mark as brainliest

Discussion

36.	Find the unit digit of (7493263)x(15129) + 634ˆ262 + 634ˆ263
Answer» ONG>Answer: As 9×3 =27 i.e unit digit is 7 7493263×15129=________7 it's unit digit is 7 NOW, 4 HAS A CYCLICITY OF 2 :- it GIVES 4 as unit digit at odd POWER and 6 as unit digit at even power. So, 634^262=_______6 it's unit digit is 6 634^263=_______4 it's unit digit is 4 therefore result unit digit = 7+6+4=7 7 IS ANS FOLLOW THANK MARK AS BRAINLIEST IF IT HELPS!

36.

Find the unit digit of (7493263)x(15129) + 634ˆ262 + 634ˆ263

Answer» ONG>Answer:

As 9×3 =27 i.e unit digit is 7

7493263×15129=________7

it's unit digit is 7

NOW,

4 HAS A CYCLICITY OF 2 :-

it GIVES 4 as unit digit at odd POWER

and 6 as unit digit at even power.

So,

634^262=_______6

it's unit digit is 6

634^263=_______4

it's unit digit is 4

therefore result unit digit = 7+6+4=7

7 IS ANS

FOLLOW

THANK

MARK AS BRAINLIEST

IF IT HELPS!

Discussion

37.	Find area of an isosceles triangle whose base is 16 cm and one of its equal sides is10cm.
Answer» ONG>Answer: 10cm Step-by-step EXPLANATION: I don't UNDERSTAND

37.

Find area of an isosceles triangle whose base is 16 cm and one of its equal sides is10cm.

Answer» ONG>Answer:

10cm

Step-by-step EXPLANATION:

I don't UNDERSTAND

Discussion

38.	Undedoot7 -1/underoot7+1 × underoot7+1/underoot7-1=a+b underoot7, find a
Answer» ONG>Answer: SORRY but I study In class 6

Discussion

39.	Find the side of a square whose area is 100 cm
Answer» ONG>Answer: SIDE = 10 Step-by-step explanation: ....,....................

39.

Find the side of a square whose area is 100 cm

Answer» ONG>Answer:

SIDE = 10

Step-by-step explanation:

....,....................

Discussion

40.	If n (A×B)=6 and A=(1,3) then n(B) is
Answer» ong>Answer: N(B)=3 Step-by-step EXPLANATION: Since n(A)=2 and n(AxB)=6 Therefore, n(B)=n(AxB) n(A) n(B)=6/2 n(B)=3

40.

If n (A×B)=6 and A=(1,3) then n(B) is

Answer»

ong>Answer:

N(B)=3

Step-by-step EXPLANATION:

Since n(A)=2

and n(AxB)=6

Therefore,

n(B)=n(AxB)

n(A)

n(B)=6/2

n(B)=3

Discussion

41.	156 is the perfect square of which number?
Answer» ONG>ANSWER: no it's not PERFECT SQUARE

41.

156 is the perfect square of which number?

Answer» ONG>ANSWER:

no

it's not PERFECT SQUARE

Discussion

42.	25 upon by 2 of it is 64.
Answer» ONG>ANSWER: what is your QUESTION?

Discussion

43.	Is mode called positional average
Answer» ONG>ANSWER: a PRECIPITATION is ATOMIC number

Discussion

44.	Evaluate 52.46 X 13.5X2.8
Answer» .988 Step-by-step explanation: 52. 46x13.5x2.8=1982.288

44.

Evaluate 52.46 X 13.5X2.8

Answer»

.988

Step-by-step explanation:

52. 46x13.5x2.8=1982.288

Discussion

45.	3x-y=1 च्याआलेखावर (2 ,5)ही बिंदू आहे kiनाही
Answer» ONG>Answer: I can't UNDERSTAND your QUESTION

45.

3x-y=1 च्याआलेखावर (2 ,5)ही बिंदू आहे kiनाही

Answer» ONG>Answer:

I can't UNDERSTAND your QUESTION

Discussion

46.	(iv) given a(3)= 15, S. 125, find d and a(10)
Answer» ONG>ANSWER: what is S in this QUESTION is sum is given 125? of first 3 terms?

Discussion

47.	Prove that (2a, 6a) and(2a+√3+5a) are the vertices of equilateral triangle.
Answer» ER PROOF :- AB= (2a−2a) 2 +(6a−4a) 2 =2a AC= (2a−(2a+ 3 a)) 2 +(4a−5a) 2 = 3a 2 +a 2 =2a BC= (2a+ 3 a−2a) 2 +(6a−5a) 2 =2a AB=BC=AC=2a All sides are equal. Hence, It is an EQUILATERAL triangle.

47.

Prove that (2a, 6a) and(2a+√3+5a) are the vertices of equilateral triangle.

Answer» ER

PROOF :-

AB= (2a−2a) 2 +(6a−4a) 2

=2a AC= (2a−(2a+ 3 a)) 2 +(4a−5a) 2

= 3a 2 +a 2

=2a BC= (2a+ 3 a−2a) 2 +(6a−5a) 2

=2a

AB=BC=AC=2a All sides are equal.

Hence, It is an EQUILATERAL triangle.

Discussion

48.	Required ra SOLVED EXAMPLESExample 1. Find the co-ordinates of the point P which divides the line segment joiningA(8,9) and B(-7, 4), internally in the ratio 2 : 3.Clearly, y =The co-ord
Answer» e given, $\longrightarrow \sf{A(8, 9) = ({x}_{1}, {y}_{1})}$ $\longrightarrow \sf{P = (\alpha, \beta)}$ $\longrightarrow \sf{B(-7, 4) = ({x}_{2}, {y}_{2})}$ $\longrightarrow \sf{AP:PB = m:<klux>N</klux> = 2:3}$ $\sf{\\ \\}$ We know by section formula, when a POINT $\sf{P(\alpha, \beta)}$ intersects internally a line SEGMENT AB where $\sf{A({x}_{1},{y}_{1})}$ and $\sf{B({x}_{2},{y}_{2})}$ in the RATIO m : n, then:- $\quad \quad \longrightarrow \sf{\alpha = \dfrac{m{x}_{2} + n{x}_{1}}{m + n}}$ $\quad \quad \longrightarrow \sf{\beta = \dfrac{m{y}_{2} + n{y}_{1}}{m + n}}$ $\sf{\\ \\}$ So, putting the values, For alpha, $\longrightarrow \sf{\alpha = \dfrac{m{x}_{2} + n{x}_{1}}{m + n}}$ $\longrightarrow \sf{\alpha = \dfrac{(2 * -7) + (3 * 8)}{2 + 3}}$ $\longrightarrow \sf{\alpha = \dfrac{ - 14 + 24}{5}}$ $\longrightarrow \sf{\alpha = \dfrac{10}{5}}$ $\longrightarrow \underline{\sf{\alpha = 2}}$ $\sf{\\ \\}$ For beta, $\longrightarrow \sf{\beta = \dfrac{m{y}_{2} + n{y}_{1}}{m + n}}$ $\longrightarrow \sf{\beta = \dfrac{(2 * 4) + (3 * 9)}{2 + 3}}$ $\longrightarrow \sf{\beta = \dfrac{ 8 + 27}{5}}$ $\longrightarrow \sf{\beta = \dfrac{35}{5}}$ $\longrightarrow \underline{\sf{\beta = 7}}$ $\sf{\\ \\}$ Hence the answer is, $\longrightarrow{\underline{\underline{\sf{ P = (2,7)}}}}$

48.

Required ra SOLVED EXAMPLESExample 1. Find the co-ordinates of the point P which divides the line segment joiningA(8,9) and B(-7, 4), internally in the ratio 2 : 3.Clearly, y =The co-ord

Answer»

e given,

$\longrightarrow \sf{A(8, 9) = ({x}_{1}, {y}_{1})}$

$\longrightarrow \sf{P = (\alpha, \beta)}$

$\longrightarrow \sf{B(-7, 4) = ({x}_{2}, {y}_{2})}$

$\longrightarrow \sf{AP:PB = m:<klux>N</klux> = 2:3}$

$\sf{\\ \\}$

We know by section formula, when a POINT $\sf{P(\alpha, \beta)}$ intersects internally a line SEGMENT AB where $\sf{A({x}_{1},{y}_{1})}$ and $\sf{B({x}_{2},{y}_{2})}$ in the RATIO m : n, then:-

$\quad \quad \longrightarrow \sf{\alpha = \dfrac{m{x}_{2} + n{x}_{1}}{m + n}}$

$\quad \quad \longrightarrow \sf{\beta = \dfrac{m{y}_{2} + n{y}_{1}}{m + n}}$

$\sf{\\ \\}$

So, putting the values,

For alpha,

$\longrightarrow \sf{\alpha = \dfrac{m{x}_{2} + n{x}_{1}}{m + n}}$

$\longrightarrow \sf{\alpha = \dfrac{(2 * -7) + (3 * 8)}{2 + 3}}$

$\longrightarrow \sf{\alpha = \dfrac{ - 14 + 24}{5}}$

$\longrightarrow \sf{\alpha = \dfrac{10}{5}}$

$\longrightarrow \underline{\sf{\alpha = 2}}$

$\sf{\\ \\}$

For beta,

$\longrightarrow \sf{\beta = \dfrac{m{y}_{2} + n{y}_{1}}{m + n}}$

$\longrightarrow \sf{\beta = \dfrac{(2 * 4) + (3 * 9)}{2 + 3}}$

$\longrightarrow \sf{\beta = \dfrac{ 8 + 27}{5}}$

$\longrightarrow \sf{\beta = \dfrac{35}{5}}$

$\longrightarrow \underline{\sf{\beta = 7}}$

$\sf{\\ \\}$

Hence the answer is,

$\longrightarrow{\underline{\underline{\sf{ P = (2,7)}}}}$

Discussion

49.	Complete the series 31,29,30,28,29
Answer» ONG>ANSWER: 31,29,30,28,29, is the answer

Discussion

50.	Write the quadrant in which the following points lie 1.. (-1,2)2.. (3,4)
Answer» ONG>Answer: 1.quadrant 2 2.quadrant 1 Step-by-step EXPLANATION:

50.

Write the quadrant in which the following points lie 1.. (-1,2)2.. (3,4)

Answer» ONG>Answer:

1.quadrant 2

2.quadrant 1

Step-by-step EXPLANATION:

Discussion

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