332354 + Interview Questions in Secondary School in Math

1.	Guys! As we all know thatSin^2 A + cos^2 A = 1So , Sin^2 A = 1- cos^2 A Is it possible that Sin A = 1 - cos A
Answer» Answer: No it's not possible... SINA = 1 - COSA {A = 60°} sin60° = 1 - cos 60° 1/√2 = 1 - 1/√2 1/√2 ≠ √2 - 1 / √2 So it's impossible.. THANK you ✌️☺️

1.

Guys! As we all know thatSin^2 A + cos^2 A = 1So , Sin^2 A = 1- cos^2 A Is it possible that Sin A = 1 - cos A

Answer»

Answer:

No it's not possible...

SINA = 1 - COSA {A = 60°}

sin60° = 1 - cos 60°

1/√2 = 1 - 1/√2

1/√2 ≠ √2 - 1 / √2

So it's impossible..

THANK you ✌️☺️

Discussion

2.	If mth term of AP is n then nth term of AP is m then find the first term
Answer» ANSWER: a = m+n-1 Step-by-step explanation: LET 1st term = a and common DIFFERENCE = d mth term = tm = a+(m-1)d = n NTH term = tn = a+(n-1)d = m tm - tn = {a+(m-1)d} - {a+(n-1)d} = n - m => a+(m-1)d - a-(n-1)d = n-m => (m-1-n+1)d = n-m => (m-n)d = -(m-n) => d = -(m-n)/(m-n) = -1 a+(m-1)d = n => a+(m-1)(-1) = n => a-m+1 = n => a = m+n-1

2.

If mth term of AP is n then nth term of AP is m then find the first term

Answer»

ANSWER:

a = m+n-1

Step-by-step explanation:

LET 1st term = a and common DIFFERENCE = d

mth term = tm = a+(m-1)d = n

NTH term = tn = a+(n-1)d = m

tm - tn = {a+(m-1)d} - {a+(n-1)d} = n - m

=> a+(m-1)d - a-(n-1)d = n-m

=> (m-1-n+1)d = n-m

=> (m-n)d = -(m-n)

=> d = -(m-n)/(m-n) = -1

a+(m-1)d = n

=> a+(m-1)(-1) = n

=> a-m+1 = n

=> a = m+n-1

Discussion

3.	This is deleted portion for class for maths by cbse
Answer» ANSWER: YES U are WRITE .. I was really needed tahnk u very MUCH....

3.

This is deleted portion for class for maths by cbse

Answer»

ANSWER:

YES U are WRITE .. I was really needed tahnk u very MUCH....

Discussion

4.	Put commas for easy reading
Answer» ANSWER: i hope send best answer send Step-by-step EXPLANATION: i hope send best answer send TOMORROW CHI

4.

Put commas for easy reading

Answer»

ANSWER:

i hope send best answer send

Step-by-step EXPLANATION:

i hope send best answer send TOMORROW CHI

Discussion

5.	Identify the points corresponding to P and Q. P'(−1, 2), Q'(–1, –2) P'(0, 1), Q'(–3, –2) P'(0, 1), Q'(3, –2) P'(−4, 1), Q'(–3, –2)
Answer» 2ND QUADRANT 3rd Quadrant 1st Quadrant 3rd Quadrant same as 3. 4th Quadrant 2nd Quadrant 3rd Quadrant

5.

Identify the points corresponding to P and Q. P'(−1, 2), Q'(–1, –2) P'(0, 1), Q'(–3, –2) P'(0, 1), Q'(3, –2) P'(−4, 1), Q'(–3, –2)

Answer»

2ND QUADRANT
3rd Quadrant
1st Quadrant
3rd Quadrant
same as 3.
4th Quadrant
2nd Quadrant
3rd Quadrant

Discussion

6.	In a deck of cards there are 4 Kings .what is the probability of pick a long from a deck of cards
Answer» Answer: I assume you said PICK one king so, TOTAL CARDS in deck = 52 no. of kings = 4 probability = favourable outcomes / total outcomes probability = 4 / 52 THEREFORE, probability = 1 / 13

6.

In a deck of cards there are 4 Kings .what is the probability of pick a long from a deck of cards

Answer»

Answer:

I assume you said PICK one king

so, TOTAL CARDS in deck = 52

no. of kings = 4

probability = favourable outcomes / total outcomes

probability = 4 / 52

THEREFORE,

probability = 1 / 13

Discussion

7.	what is the difference between the greatest and the smallest 4-digit numbers that can be formed useing the digits 0,9,9,8?
Answer» ANSWER: GREATER NUMBER = 9999 Smallest Number = 8888

7.

what is the difference between the greatest and the smallest 4-digit numbers that can be formed useing the digits 0,9,9,8?

Answer»

ANSWER:

GREATER NUMBER = 9999

Smallest Number = 8888

Discussion

8.	Every number is an exact...... of itself.
Answer» FACTOR and multiple hope this ANSWER HELPS you

8.

Every number is an exact...... of itself.

Answer»

FACTOR and multiple

hope this ANSWER HELPS you

Discussion

9.	Which number is 90000 greater than 124396?
Answer» $Let \: a \: number \: \pink {x}\:is \: 90000$ $greater \:than \: 124396$ $\<klux>THEREFORE</klux> x = 124396 + 90000$ $\implies x = 214396$ Therefore., $\pink{ 214396} \:is \: 90000 \: greater \:than$ $124396 .$ •••♪

9.

Which number is 90000 greater than 124396?

Answer»

$Let \: a \: number \: \pink {x}\:is \: 90000$

$greater \:than \: 124396$

$\<klux>THEREFORE</klux> x = 124396 + 90000$

$\implies x = 214396$

Therefore.,

$\pink{ 214396} \:is \: 90000 \: greater \:than$

$124396 .$

•••♪

Discussion

10.	Write the coefficient of x power 3 in each of the following 2 - x power 3 + x power 2
Answer» ANSWER: -1 Step-by-step EXPLANATION: PLS MARK as BRAINLIEST

10.

Write the coefficient of x power 3 in each of the following 2 - x power 3 + x power 2

Answer»

ANSWER:

-1

Step-by-step EXPLANATION:

PLS MARK as BRAINLIEST

Discussion

11.	1-(x - 2) - {(x - 3) - (x - 1)} = 0
Answer» ANSWER: Step-by-step explanation: 1-(X-2) - {(x-3) - (x - 1)} = 0 1-(x-2) - {x-3-x+1} = 0 1-(x-2) - {-2} = 0 1-x+2+2 = 0 5-x=0 x=5

11.

1-(x - 2) - {(x - 3) - (x - 1)} = 0

Answer»

ANSWER:

Step-by-step explanation:

1-(X-2) - {(x-3) - (x - 1)} = 0

1-(x-2) - {x-3-x+1} = 0

1-(x-2) - {-2} = 0

1-x+2+2 = 0

5-x=0

x=5

Discussion

12.	Solve the following equationsplease answer all the questions and please send the pic of the answer it's urgent please help me
Answer» ANSWER: HOPE this is HELPFUL for U..

12.

Solve the following equationsplease answer all the questions and please send the pic of the answer it's urgent please help me

Answer»

ANSWER:

HOPE this is HELPFUL for U..

Discussion

13.	Answer now . Step by step with proper proof. Question 2, 3
Answer» Answer: please tell that what QUESTION are you asking because EVERYONE has DIFFERENT book chaptterrs CLASSES so send the questions

13.

Answer now . Step by step with proper proof. Question 2, 3

Answer»

Answer:

please tell that what QUESTION are you asking

because EVERYONE has DIFFERENT book chaptterrs CLASSES so send the questions

Discussion

14.	Simplify 9/5* -2/27 +7/30
Answer» Answer: 9/5 * -2/27+ 7/30 = -2/15 + 7/30 = 1/10 Step-by-step EXPLANATION:

14.

Simplify 9/5* -2/27 +7/30

Answer»

Answer:

9/5 * -2/27+ 7/30

= -2/15 + 7/30

= 1/10

Step-by-step EXPLANATION:

Discussion

15.	1/4+4/8=3/6+1/3=2/5+1/3=5/12+1/4=1/9+2/3=1/4+1/2=1/10+4/5=1/3+1/4=
Answer» ANSWER: HOPE it will HELP you with your PROBLEM

15.

1/4+4/8=3/6+1/3=2/5+1/3=5/12+1/4=1/9+2/3=1/4+1/2=1/10+4/5=1/3+1/4=

Answer»

ANSWER:

HOPE it will HELP you with your PROBLEM

Discussion

16.	Give an example of the periodic motion
Answer» Answer: Periodic motion is performed, for example, by a rocking CHAIR, a bouncing ball, a vibrating tuning fork, a SWING in motion, the Earth in its ORBIT around the SUN, and a water wave Step-by-step explanation:

16.

Give an example of the periodic motion

Answer»

Answer:

Periodic motion is performed, for example, by a rocking CHAIR, a bouncing ball, a vibrating tuning fork, a SWING in motion, the Earth in its ORBIT around the SUN, and a water wave

Step-by-step explanation:

Discussion

17.	The Difference in the digits of a two digit number is 1. If the digits are interchanged the new no. becomes 9 more than the old no. Find the no.
Answer» Answer: 45 Step-by-step EXPLANATION: let the UNIT place BA X and 10 + b y the number is 10 y + X is the condition X + y EQUAL 9 equation first the number interchange the unit place and tens place we X the new number is form 10 X + y according to QUESTION 10 X + y equal 10 y + X + 9 10 x minus x + y - 3 y equal 9 9 x minus 9 y equal equal 9 (x-y)=9 x minus y equal one equation first

17.

The Difference in the digits of a two digit number is 1. If the digits are interchanged the new no. becomes 9 more than the old no. Find the no.

Answer»

Answer:

45

Step-by-step EXPLANATION:

let the UNIT place BA X and 10 + b y the number is 10 y + X is the condition X + y EQUAL 9 equation first the number interchange the unit place and tens place we X the new number is form 10 X + y according to QUESTION 10 X + y equal 10 y + X + 9 10 x minus x + y - 3 y equal 9 9 x minus 9 y equal equal 9 (x-y)=9

x minus y equal one equation first

Discussion

18.	5. A hawker gains the selling price of 4 ball-point pens on selling 1 dozen pens. What is his gain percentage?
Answer» Step-by-step EXPLANATION: PLEASE MARK has BRAINLIEST ANSWER (♥_♥)(❁´◡`❁)(♥_♥)(❁´◡`❁)(♥_♥)(❁´◡`❁)(♥_♥)(❁´◡`❁)

18.

5. A hawker gains the selling price of 4 ball-point pens on selling 1 dozen pens. What is his gain percentage?

Answer»

Step-by-step EXPLANATION:

PLEASE MARK has BRAINLIEST ANSWER (♥_♥)(❁´◡`❁)(♥_♥)(❁´◡`❁)(♥_♥)(❁´◡`❁)(♥_♥)(❁´◡`❁)

Discussion

19.	12x +10=62
Answer» $h1{text-transform:uppercase;margin-top:90px;text-align:center;font-family:Courier new,monospace;border:3px solid rgb(60,45,8);border-top:none;width:67%;letter-spacing:-6px;box-sizing:border-box;padding-right:5px;border-radius:6px;font-size:35px;font-weight:bold;}h1 span{position:relative;display:inline-block;margin-right:3px;}@keyframes shahir{0%{transform: translateY(0px) rotate(0deg);}40%{transform: translateY(0px) rotate(0deg);}50%{transform: translateY(-50px)rotate(180deg);;}60%{transform: translateY(0px)rotate(360deg);;}100%{transform: translate(0px)rotate(360deg);;}}h1 span{animation: shahir 3s alternate infinite linear;}h1 span:nth-child(1){color:red;animation-delay: 0s;}h1 span:nth-child(2){color:lightmaroon;animation-delay: 0.2s;}h1 span:nth-child(3){color:orange;animation-delay:0s;}h1 span:nth-child(4){color:pink;animation-delay: 0.4s;}h1 span:nth-child(5){color:lime;animation-delay: 0.5s;}h1 span:nth-child(6){color:purple;animation-delay: 0.3s;}h1 span:nth-child(7){color:blue;animation-delay: 0.1s;}h1 span:nth-child(8){color:red;animation-delay: 0s;}h1 span:nth-child(9){color:lightmaroon;animation-delay: 0.2s;}h1 span:nth-child(10){color:orange;animation-delay:0s;}h1 span:nth-child(11){color:pink;animation-delay: 0.4s;}h1 span:nth-child(12){color:lime;animation-delay: 0.5s;}h1 span:nth-child(13){color:purple;animation-delay: 0.3s;}h1 span:nth-child(14){color:blue;animation-delay: 0.4s;}h1 span:nth-child(15){color:yellow;animation-delay: 0.5s;} BRAIN LY ADDIC TO R$ $MARK BRAINLIST$ $\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\pink{R}}}}$ ➡️12x+10=62 ➡️12x=62-10 ➡️12x=52 ➡️X=52/12 ➡️X=13/3 ➡️X=4.333 $follow and thank my answers.$

19.

12x +10=62

Answer»

$h1{text-transform:uppercase;margin-top:90px;text-align:center;font-family:Courier new,monospace;border:3px solid rgb(60,45,8);border-top:none;width:67%;letter-spacing:-6px;box-sizing:border-box;padding-right:5px;border-radius:6px;font-size:35px;font-weight:bold;}h1 span{position:relative;display:inline-block;margin-right:3px;}@keyframes shahir{0%{transform: translateY(0px) rotate(0deg);}40%{transform: translateY(0px) rotate(0deg);}50%{transform: translateY(-50px)rotate(180deg);;}60%{transform: translateY(0px)rotate(360deg);;}100%{transform: translate(0px)rotate(360deg);;}}h1 span{animation: shahir 3s alternate infinite linear;}h1 span:nth-child(1){color:red;animation-delay: 0s;}h1 span:nth-child(2){color:lightmaroon;animation-delay: 0.2s;}h1 span:nth-child(3){color:orange;animation-delay:0s;}h1 span:nth-child(4){color:pink;animation-delay: 0.4s;}h1 span:nth-child(5){color:lime;animation-delay: 0.5s;}h1 span:nth-child(6){color:purple;animation-delay: 0.3s;}h1 span:nth-child(7){color:blue;animation-delay: 0.1s;}h1 span:nth-child(8){color:red;animation-delay: 0s;}h1 span:nth-child(9){color:lightmaroon;animation-delay: 0.2s;}h1 span:nth-child(10){color:orange;animation-delay:0s;}h1 span:nth-child(11){color:pink;animation-delay: 0.4s;}h1 span:nth-child(12){color:lime;animation-delay: 0.5s;}h1 span:nth-child(13){color:purple;animation-delay: 0.3s;}h1 span:nth-child(14){color:blue;animation-delay: 0.4s;}h1 span:nth-child(15){color:yellow;animation-delay: 0.5s;} BRAIN LY ADDIC TO R$ $MARK BRAINLIST$

$\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\pink{R}}}}$

➡️12x+10=62

➡️12x=62-10

➡️12x=52

➡️X=52/12

➡️X=13/3

➡️X=4.333

$follow and thank my answers.$

Discussion

20.	Find the square root of 1471369.In long division method.
Answer» Answer: 1,213 is the SQUARE ROOT of 1471369

20.

Find the square root of 1471369.In long division method.

Answer»

Answer:

1,213 is the SQUARE ROOT of

1471369

Discussion

21.	Guys please help me with these question.
Answer» Answer: dream NUMBER lines for the given PROBLEMS

21.

Guys please help me with these question.

Answer»

Answer:

dream NUMBER lines for the given PROBLEMS

Discussion

22.	This is deleted portion for class x for maths by cbse
Answer» i dont EVEN KNOW who u r .... a stranger till now !! but ONE day ill post @ THT tym ill let u know !!

22.

This is deleted portion for class x for maths by cbse

Answer»

i dont EVEN KNOW who u r ....

a stranger till now !!

but ONE day ill post @ THT tym ill let u know !!

Discussion

23.	Please answer all the questions in the pdf below. It is for 100 points.
Answer» $2x + 3x = 5x$ Answer⤴️

23.

Please answer all the questions in the pdf below. It is for 100 points.

Answer»

$2x + 3x = 5x$

Answer⤴️

Discussion

24.	A card is drawn at random from a pack of well-shuffled pack of 52 playing cards, Find the probability that the card drawn is – (i) an ace card, (ii) not a red card, (iii) a queen of diamonds (iv) either heart or diamond
Answer» ANSWER: i)4/52 ii)39/52 iii)1/52 iv)26/52 Step-by-step EXPLANATION:

24.

A card is drawn at random from a pack of well-shuffled pack of 52 playing cards, Find the probability that the card drawn is – (i) an ace card, (ii) not a red card, (iii) a queen of diamonds (iv) either heart or diamond

Answer»

ANSWER:

i)4/52

ii)39/52

iii)1/52

iv)26/52

Step-by-step EXPLANATION:

Discussion

25.	PT=10000 rupees, R=6% p.a, T=18 month find half yearly compound interest
Answer» Given:- Principal,P = Rs. 10000 Rate,r = 6 % Time, N = 18 months To find out:- Find half yearly compound interest . Solution:- If the interest is PAYABLE half-yearly, then r we take r/2 and for n we taken 2n. ★ Rate,r = 6 % = 6/2 = 3 % ★ Time, n = 18 months = 1 ½ YEARS = 3/2 × 2 =3 years We know that, A = P ( 1 + r/100 )^n A = 10000 ( 1 + 3/100 )³ A = 10000 ( 100 + 3 / 100 )³ A = 10000 ( 103/100 )³ A = 10000 × 103/100 × 103/100 × 103/100 A = 1,092,727 / 100 A = 10,927.27 Now, Compound interest = AMOUNT - Principal = 10,927.27 - 10,000 = 927.27

25.

PT=10000 rupees, R=6% p.a, T=18 month find half yearly compound interest

Answer»

Given:-

Principal,P = Rs. 10000

Rate,r = 6 %

Time, N = 18 months

To find out:-

Find half yearly compound interest .

Solution:-

If the interest is PAYABLE half-yearly, then r we take r/2 and for n we taken 2n.

★ Rate,r = 6 % = 6/2 = 3 %

★ Time, n = 18 months = 1 ½ YEARS = 3/2 × 2 =3 years

We know that,

A = P ( 1 + r/100 )^n

A = 10000 ( 1 + 3/100 )³

A = 10000 ( 100 + 3 / 100 )³

A = 10000 ( 103/100 )³

A = 10000 × 103/100 × 103/100 × 103/100

A = 1,092,727 / 100

A = 10,927.27

Now,

Compound interest = AMOUNT - Principal

= 10,927.27 - 10,000

= 927.27

Discussion

26.	Convert 0.98 No Bar into p/q Form And please show the Method
Answer» Answer: 0.98=98/100=49/50 Step-by-step explanation: p/q is a form where q is not equal to 0. so It should be 1 so it will be 49/ 50 . HOPE you like it . MARK me as BRAINLIST

26.

Convert 0.98 No Bar into p/q Form And please show the Method

Answer»

Answer:

0.98=98/100=49/50

Step-by-step explanation:

p/q is a form where q is not equal to 0. so It should be 1 so it will be 49/ 50 .

HOPE you like it .

MARK me as BRAINLIST

Discussion

27.	1 hour 30 mins before quarter past 1. What will be the time
Answer» Answer: 11:03 Step-by-step EXPLANATION: US the answer hope it HELPS you

27.

1 hour 30 mins before quarter past 1. What will be the time

Answer»

Answer:

11:03

Step-by-step EXPLANATION:

US the answer

hope it HELPS you

Discussion

28.	5) A Coin is tossed .What is the probability of getting these outcomes?a) A headb) A tail6) Given below is a frequency distribution table. Read it and answer thequestions that follow.Class Interval10-2020-3030-4040-5050-60frequency5104.1512
Answer» 5. Wain a coin is TOSSED the probability is there we can GET either head or TAIL .

28.

5) A Coin is tossed .What is the probability of getting these outcomes?a) A headb) A tail6) Given below is a frequency distribution table. Read it and answer thequestions that follow.Class Interval10-2020-3030-4040-5050-60frequency5104.1512

Answer»

5. Wain a coin is TOSSED the probability is there we can GET either head or TAIL .

Discussion

29.	2 to the power 5/2 to the power 8 × 2 to the power negative 5
Answer» Answer: 0.00390625 Mark it BRAINLIEST

29.

2 to the power 5/2 to the power 8 × 2 to the power negative 5

Answer»

Answer:

0.00390625

Mark it BRAINLIEST

Discussion

30.	-27/3 +7/4 - (-4)/4 Solve. this. Question
Answer» ANSWER: -27/3 = -9 7/4 - (-4)/4 = 7/4 +4/4 = +11/4 -27/3 + 7/4 - (-4)/4 = -9 + 11/4 = -9/1 +11/4 LCM of 1,4 = 4 -9/1 = -36/4 so, -9/1 + 11/4 = -36/4 + 11/4 = -36+11/4 = -25/4 = 6.25 hope this HELPS

30.

-27/3 +7/4 - (-4)/4 Solve. this. Question

Answer»

ANSWER:

-27/3 = -9
7/4 - (-4)/4 = 7/4 +4/4 = +11/4

-27/3 + 7/4 - (-4)/4 = -9 + 11/4 = -9/1 +11/4

LCM of 1,4 = 4

-9/1 = -36/4

so,

-9/1 + 11/4 = -36/4 + 11/4 = -36+11/4 = -25/4 = 6.25

hope this HELPS

Discussion

31.	What is the sum of two consecutive triangular numbers ?Illustrate using figures. (you may use circles instead of stars as circles will be easier to draw)
Answer» ANSWER: take first consecutive number be =X and take second consecutive number be =X+1 Step-by-step explanation: they asked the sum of two consecutive number so we NEED to add the consecutive number X+X+1=2X+1 THIS IS THE ANSWER PLZ MAKE ME AS BRAINLIEST

31.

What is the sum of two consecutive triangular numbers ?Illustrate using figures. (you may use circles instead of stars as circles will be easier to draw)

Answer»

ANSWER:

take first consecutive number be =X

and take second consecutive number be =X+1

Step-by-step explanation:

they asked the sum of two consecutive number

so we NEED to add the consecutive number

X+X+1=2X+1

THIS IS THE ANSWER

PLZ MAKE ME AS BRAINLIEST

Discussion

32.	Express 0.345 into simplest form
Answer» Answer: 69/200 Step-by-step explanation: 0.345 = 345/1000 345/1000 =69/200

32.

Express 0.345 into simplest form

Answer»

Answer:

69/200

Step-by-step explanation:

0.345 = 345/1000

345/1000 =69/200

Discussion

33.	Hello I am in class 10 . For ex If i get less marks in maths around 50 but I get 90marks in IT code 402 my marks replace in report card or not .Plz give me correct answer
Answer» Answer:this TIME we can't say NOTHING . Due to the pandemic going on everything is changing. O LY CBSE board knows what will happen Step-by-step explanation:

33.

Hello I am in class 10 . For ex If i get less marks in maths around 50 but I get 90marks in IT code 402 my marks replace in report card or not .Plz give me correct answer

Answer»

Answer:this TIME we can't say NOTHING . Due to the pandemic going on everything is changing. O LY CBSE board knows what will happen

Step-by-step explanation:

Discussion

34.	If cos θ + sin θ =√2 cosθ, show that cosθ –sinθ = √2sinθ
Answer» GIVEN: \cos\theta+\sin\theta=\sqrt{2}\cos\theta Squaring on both the SIDES, we get (\cos\theta+\sin\theta)^2=(\sqrt{2}\cos\theta)^2\\\\\Rightarrow\ \cos^2\theta+\sin^2\theta+2\cos\theta\sin\theta=2\cos^2\theta\\\\\Rightarrow\ 1+2\cos\theta\sin\theta=2\cos^2\theta\\\\\Rightarrow\ 2\cos\theta\sin\theta=2\cos^2\theta-1 Now, consider (\cos\theta-\sin\theta)^2=\cos^2\theta+\sin^2\theta-2\cos\theta\sin\theta\\\\=1-(2\cos^2\theta-1)\\\\=2-2cos^2\theta=2-2(1-\sin^2\theta)\\\\=2-2+2\sin^2\theta\\\\=2\sin^2\theta\\\\\Rightarrow\ (\cos\theta-\sin\theta)^2=2\sin^2\theta\\\\\Rightarrow\ \cos\theta-\sin\theta=\sqrt{2}\sin\theta Hence, proved. follow me please... MARK as BRAINLIEST please...

34.

If cos θ + sin θ =√2 cosθ, show that cosθ –sinθ = √2sinθ

Answer»

GIVEN: \cos\theta+\sin\theta=\sqrt{2}\cos\theta

Squaring on both the SIDES, we get

(\cos\theta+\sin\theta)^2=(\sqrt{2}\cos\theta)^2\\\\\Rightarrow\ \cos^2\theta+\sin^2\theta+2\cos\theta\sin\theta=2\cos^2\theta\\\\\Rightarrow\ 1+2\cos\theta\sin\theta=2\cos^2\theta\\\\\Rightarrow\ 2\cos\theta\sin\theta=2\cos^2\theta-1

Now, consider

(\cos\theta-\sin\theta)^2=\cos^2\theta+\sin^2\theta-2\cos\theta\sin\theta\\\\=1-(2\cos^2\theta-1)\\\\=2-2cos^2\theta=2-2(1-\sin^2\theta)\\\\=2-2+2\sin^2\theta\\\\=2\sin^2\theta\\\\\Rightarrow\ (\cos\theta-\sin\theta)^2=2\sin^2\theta\\\\\Rightarrow\ \cos\theta-\sin\theta=\sqrt{2}\sin\theta

Hence, proved.

follow me please...

MARK as BRAINLIEST please...

Discussion

35.	There are two sisters. If 1 is added to elder sister then the ratio of them is 0.5:1. If 2 is subtracted from younger sister then the ratio is 1:3. What is the ratio of them now?
Answer» Answer:- $\sf{<klux>RATIO</klux> \ of \ their \ present \ age \ is \ 7:15}$ Given: There are two sisters. If 1 is ADDED to elder sister then the ratio of them is 0.5:1 If 2 is subtracted from YOUNGER sister then the ratio is 1:3 To find: Ratio of present AGES of sisters. Solution: $\sf{Let \ the \ age \ of \ younger \ sister \ be \ y \ years \ and}$ $\sf{age \ of \ elder \ sister \ be \ x \ years \ respectively.}$ $\sf{According \ to \ the \ first \ condition.}$ $\sf{\frac{y}{x+1}=\frac{0.5}{1}}$ $\sf{\therefore{=0.5(x+1)}}$ $\sf{Multiply \ both \ sides \ by \ 2, \ we \ get}$ $\sf{2y+2=x+1...(1)}$ $\sf{According \ to \ the \ second \ condition.}$ $\sf{\frac{y-2}{x}=\frac{1}{3}}$ $\sf{\therefore{x=3(y-2)}}$ $\sf{\therefore{x=3y-6...(2)}}$ $\sf{Substitute \ equation (2) \ in \ equation (1)}$ $\sf{2y+2=3y-6+1}$ $\sf{\therefore{3y-2y=5+2}}$ $\boxed{\sf{\therefore{y=7}}}$ $\sf{Substitute \ y=7 \ in \ equation (2), \ we \ get}$ $\sf{x=3(7)-6}$ $\sf{\therefore{x=21-6}}$ $\boxed{\sf{\therefore{x=15}}}$ $\sf{Ratio \ of \ their \ present \ ages \ is}$ $\sf{\frac{y}{x}=\frac{7}{15}}$ $\sf\purple{\tt{\therefore{Ratio \ of \ their \ present \ ages \ is \ 7:15}}}$

35.

There are two sisters. If 1 is added to elder sister then the ratio of them is 0.5:1. If 2 is subtracted from younger sister then the ratio is 1:3. What is the ratio of them now?

Answer»

Answer:-

$\sf{<klux>RATIO</klux> \ of \ their \ present \ age \ is \ 7:15}$

Given:

There are two sisters.

If 1 is ADDED to elder sister then the ratio of them is 0.5:1

If 2 is subtracted from YOUNGER sister then the ratio is 1:3

To find:

Ratio of present AGES of sisters.

Solution:

$\sf{Let \ the \ age \ of \ younger \ sister \ be \ y \ years \ and}$

$\sf{age \ of \ elder \ sister \ be \ x \ years \ respectively.}$

$\sf{According \ to \ the \ first \ condition.}$

$\sf{\frac{y}{x+1}=\frac{0.5}{1}}$

$\sf{\therefore{=0.5(x+1)}}$

$\sf{Multiply \ both \ sides \ by \ 2, \ we \ get}$

$\sf{2y+2=x+1...(1)}$

$\sf{According \ to \ the \ second \ condition.}$

$\sf{\frac{y-2}{x}=\frac{1}{3}}$

$\sf{\therefore{x=3(y-2)}}$

$\sf{\therefore{x=3y-6...(2)}}$

$\sf{Substitute \ equation (2) \ in \ equation (1)}$

$\sf{2y+2=3y-6+1}$

$\sf{\therefore{3y-2y=5+2}}$

$\boxed{\sf{\therefore{y=7}}}$

$\sf{Substitute \ y=7 \ in \ equation (2), \ we \ get}$

$\sf{x=3(7)-6}$

$\sf{\therefore{x=21-6}}$

$\boxed{\sf{\therefore{x=15}}}$

$\sf{Ratio \ of \ their \ present \ ages \ is}$

$\sf{\frac{y}{x}=\frac{7}{15}}$

$\sf\purple{\tt{\therefore{Ratio \ of \ their \ present \ ages \ is \ 7:15}}}$

Discussion

36.	The value of (-15/23)/(30/-43) is
Answer» Answer: 43/46 EXPLANATION: 30/-43 WOULD be reciprocaled and MULTIPLIED with -15/23

36.

The value of (-15/23)/(30/-43) is

Answer»

Answer:

43/46

EXPLANATION:

30/-43 WOULD be reciprocaled and MULTIPLIED with -15/23

Discussion

37.	Find 16/125 is terminating are non-recurring dacimal with out actual division
Answer» Answer: 0.128 Terminating Step-by-step explanation: 16/125 Mulipying NUMERATOR and DENOMINATOR by 8, we get 128/1000 =0.128 *PLEASE RATE, THANK AND MARK AS BRAINLIEST.*

37.

Find 16/125 is terminating are non-recurring dacimal with out actual division

Answer»

Answer:

0.128 Terminating

Step-by-step explanation:

16/125

Mulipying NUMERATOR and DENOMINATOR by 8, we get

128/1000

=0.128

PLEASE RATE, THANK AND MARK AS BRAINLIEST.

Discussion

38.	one side of a right triangle is 8cm and the difference between other two sides is 4 cm . Find its area by Herons formula
Answer» Step-by-step explanation: Let the HYPOTENUSE be 8 cms. Acc. to question, the other two sides are x and x+4. Using PYTHAGORAS Theorem, x^2 + (x-4)^2 = 64 Solve the equation, FIND the value of x. YOU WILL GET TWO VALUES OF x. Eliminate the negative value. Then find the sides and apply Herons Formula.

38.

one side of a right triangle is 8cm and the difference between other two sides is 4 cm . Find its area by Herons formula

Answer»

Step-by-step explanation:

Let the HYPOTENUSE be 8 cms.

Acc. to question, the other two sides are x and x+4.

Using PYTHAGORAS Theorem,

x^2 + (x-4)^2 = 64

Solve the equation, FIND the value of x. YOU WILL GET TWO VALUES OF x.

Eliminate the negative value.

Then find the sides and apply Herons Formula.

Discussion

39.	Find the product of place value and face value of 2 in 8521720
Answer» Answer: A number is formed by grouping the digits together. ● Each digit has a fixed position called its place. ● Each digit has a value depending on its place called the place value of the digit. ● The face value of a digit for any place in the given number is the value of the digit itself ● Place value of a digit = (face value of the digit) × (value of the place) 1. The place value of every one-digit number is the same as and equal to its face value. (i) Place value and face value of 1, 2, 3, 4, 5, 6, 7, 8 and 9 are 1, 2, 3, 4, 5, 6, 7, 8 and 9 RESPECTIVELY. (ii) The place value of zero (0) is always 0. It may HOLD any place in a number, its value is always 0. As, in 105, 350, 42017, 90218 the place value of 0 in each number is 0. Step-by-step explanation: follow me

39.

Find the product of place value and face value of 2 in 8521720

Answer»

Answer:

A number is formed by grouping the digits together.

● Each digit has a fixed position called its place.

● Each digit has a value depending on its place called the place value of the digit.

● The face value of a digit for any place in the given number is the value of the digit itself

● Place value of a digit = (face value of the digit) × (value of the place)

1. The place value of every one-digit number is the same as and equal to its face value.

(i) Place value and face value of 1, 2, 3, 4, 5, 6, 7, 8 and 9 are 1, 2, 3, 4, 5, 6, 7, 8 and 9 RESPECTIVELY.

(ii) The place value of zero (0) is always 0. It may HOLD any place in a number, its value is always 0.

As, in 105, 350, 42017, 90218 the place value of 0 in each number is 0.

Step-by-step explanation:

follow me

Discussion

40.	Write four solutions of the equation 2x+5y=8 in tabular form
Answer» ANSWER: eydfuy8 Step-by-step EXPLANATION: gkvifififigisw7digue hdytihnccfdhfufu

40.

Write four solutions of the equation 2x+5y=8 in tabular form

Answer»

ANSWER:

eydfuy8

Step-by-step EXPLANATION:

gkvifififigisw7digue hdytihnccfdhfufu

Discussion

41.	I want the answer of"Find the R.F. Of 7√2"
Answer» ANSWER: Step-by-step EXPLANATION: $\frac{1}{7\sqrt{2} } \ = \ \frac{1}{7\sqrt{2} } \ * \ \frac{\sqrt{2} }{\sqrt{2} }$ $\frac{1 \ * \ \sqrt{2} }{7\sqrt{2} \ * \ \sqrt{2} } \ = \ \frac{\sqrt{2} }{7 * 2} \ = \ \frac{\sqrt{2} }{ 14}$ THEREFORE the R.F. of 7√2 is √2 which is the numerator Hope this helps. Please MARK as BRAINLIEST.

41.

I want the answer of"Find the R.F. Of 7√2"

Answer»

ANSWER:

Step-by-step EXPLANATION:

$\frac{1}{7\sqrt{2} } \ = \ \frac{1}{7\sqrt{2} } \ * \ \frac{\sqrt{2} }{\sqrt{2} }$

$\frac{1 \ * \ \sqrt{2} }{7\sqrt{2} \ * \ \sqrt{2} } \ = \ \frac{\sqrt{2} }{7 * 2} \ = \ \frac{\sqrt{2} }{ 14}$

THEREFORE the R.F. of 7√2 is √2 which is the numerator

Hope this helps.

Please MARK as BRAINLIEST.

Discussion

42.	Find two rational number between 2/9 and 2/7
Answer» ANSWER: I have not MUCH TIME. MARK as BRAINLIEST

42.

Find two rational number between 2/9 and 2/7

Answer»

ANSWER:

I have not MUCH TIME.

MARK as BRAINLIEST

Discussion

43.	किसी समांतर श्रेणी का 5 वां पद 11 तथा 9 वां पद 7 है तो 16 वां पद निकाले
Answer» ANSWER: Hxuhdhudueh3vudjnajudjsj

43.

किसी समांतर श्रेणी का 5 वां पद 11 तथा 9 वां पद 7 है तो 16 वां पद निकाले

Answer»

ANSWER:

Hxuhdhudueh3vudjnajudjsj

Discussion

44.	Solve : ax+by = a-b bx-ay =a+b by by SUBSTITUTION only.
Answer» ANSWER: $> 240 { {x13 \times 28 - 2x {1xx042y71)2x11x1xyx5 < 3160 \times \frac{?}{?} }^{?} }^{2} }^{2}$

44.

Solve : ax+by = a-b bx-ay =a+b by by SUBSTITUTION only.

Answer»

ANSWER:

$> 240 { {x13 \times 28 - 2x {1xx042y71)2x11x1xyx5 < 3160 \times \frac{?}{?} }^{?} }^{2} }^{2}$

Discussion

45.	Solve for x and y : 254x+309y=55309x+254y=55
Answer» Answer: i HOPE it's HELP you Step-by-step EXPLANATION: MARK me Brain list

45.

Solve for x and y : 254x+309y=55309x+254y=55

Answer»

Answer:

i HOPE it's HELP you

Step-by-step EXPLANATION:

MARK me Brain list

Discussion

46.	A path 5metres wide runs around a square park of side 100metres.the cost of cementing path at the rate of 250 rupees per 10metre square is
Answer» Answer: see the attached FIGURE :- given , length of the big square = 100 m length of the small square = 5 m Side of the smaller square = Side of the bigger square - 2(width of the path) = 100 - 2(5) = 90 m Area of the path = (100)² - (90)² = 10000 - 8100 = 1900 sq m Cost of cementing at the rate of RS 250 per 10 m² = 250 X 190 = Rs 47500

46.

A path 5metres wide runs around a square park of side 100metres.the cost of cementing path at the rate of 250 rupees per 10metre square is

Answer»

Answer:

see the attached FIGURE :-

given ,

length of the big square = 100 m

length of the small square = 5 m

Side of the smaller square = Side of the bigger square - 2(width of the path)

= 100 - 2(5)

= 90 m

Area of the path = (100)² - (90)² = 10000 - 8100 = 1900 sq m

Cost of cementing at the rate of RS 250 per 10 m² = 250 X 190 = Rs 47500

Discussion

47.	A PEN DRIVE is an EXAMPLE OF............................. storage
Answer» *DATA* *STORAGE. or File* *storage.. hope* *its HELPFUL dear.. PLZ* *mark brainlist*..

47.

A PEN DRIVE is an EXAMPLE OF............................. storage

Answer»

DATA STORAGE.

or

File storage..

hope its HELPFUL dear..

PLZ mark brainlist..

Discussion

48.	Draw the graph of 4x+6y=18 2x+3y=9
Answer» Answer: If you TRY to divide the terms in first equation by 2 it will give US 2x+3y=9. Hence, Both equations are same. Graph would look like the image if we plot for equation 2x+3y=9 Step-by-step explanation: First we NEED to transform 2x+3y=9 into slope intercept form like this. 3y= -2x+9 y= (- 2/3) x+ 9 Slope = -2/3 Intercept = 9 using rise and run method we get the COORDINATE points SHOW in the image.

48.

Draw the graph of 4x+6y=18 2x+3y=9

Answer»

Answer:

If you TRY to divide the terms in first equation by 2 it will give US 2x+3y=9. Hence, Both equations are same.

Graph would look like the image if we plot for equation 2x+3y=9

Step-by-step explanation:

First we NEED to transform 2x+3y=9 into slope intercept form like this.

3y= -2x+9

y= (- 2/3) x+ 9

Slope = -2/3

Intercept = 9

using rise and run method we get the COORDINATE points SHOW in the image.

Discussion

49.	If 49men can dig a well 28m deep in 52 days how many men will be required to dig a well 40m deep in 35days
Answer» 104 men will be required. Step-by-step explanation: 28m well can be DUG in 52 days by 49 men 1m well can be dug in 52 days by 49/28 men 1m well can be dug in 1 day by 49×52/28 men 40m well can be dug in 1 day by 49×52×40/28 men 40m well can be dug in 35 days by 49×52×40/28×35men = 104 men . hope it helps mark me as Brainliest please

49.

If 49men can dig a well 28m deep in 52 days how many men will be required to dig a well 40m deep in 35days

Answer»

104 men will be required.

Step-by-step explanation:

28m well can be DUG in 52 days by 49 men

1m well can be dug in 52 days by 49/28 men

1m well can be dug in 1 day by 49×52/28 men

40m well can be dug in 1 day by 49×52×40/28 men

40m well can be dug in 35 days by

49×52×40/28×35men

= 104 men .

hope it helps

mark me as Brainliest please

Discussion

50.	Two years ago a man was five times as old as his son. Two years later his age will be 8 more than
Answer» Given:- Two years ago, a man was five times as old as his son. Two years later, his age will be 8 more than THREE times the age of the son. To FIND out:- Find the present ages of the man and his son. Solution:- Let the present age of his son be a. Then, the present age of the father = b According to the question, ★ Two years ago, ⇒( b - 2 ) = 5 ( a - 2 ) ⇒ b - 2 = 5a - 10 ⇒ b = 5a - 8 .......( 1 ) ★ Two years later, b + 2 = 8 + 3 ( a + 2 ) ⇒ b + 2 = 8 + 3a + 6 ⇒ b + 2 = 3a + 14 ⇒ b = 3a + 12.......( 2 ) From ( 1 ) and ( 2 ) 5a - 8 = 3a + 12 ⇒ 5a - 3a = 12 + 8 ⇒ 2a = 20 ⇒ a = 10 Now, Substituting the value of a in EQUATION ( 1 ) b = 5a - 8 b = 5 × 10 - 8 b = 50 - 8 b = 42 Hence,the present age of man and his son are 42 and 10 respectively.

50.

Two years ago a man was five times as old as his son. Two years later his age will be 8 more than

Answer»

Given:-

Two years ago, a man was five times as old as his son.

Two years later, his age will be 8 more than THREE times the age of the son.

To FIND out:-

Find the present ages of the man and his son.

Solution:-

Let the present age of his son be a.

Then, the present age of the father = b

According to the question,

★ Two years ago,

⇒( b - 2 ) = 5 ( a - 2 )

⇒ b - 2 = 5a - 10

⇒ b = 5a - 8 .......( 1 )

★ Two years later,

b + 2 = 8 + 3 ( a + 2 )

⇒ b + 2 = 8 + 3a + 6

⇒ b + 2 = 3a + 14

⇒ b = 3a + 12.......( 2 )

From ( 1 ) and ( 2 )

5a - 8 = 3a + 12

⇒ 5a - 3a = 12 + 8

⇒ 2a = 20

⇒ a = 10

Now,

Substituting the value of a in EQUATION ( 1 )

b = 5a - 8

b = 5 × 10 - 8

b = 50 - 8

b = 42

Hence,the present age of man and his son are 42 and 10 respectively.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Guys! As we all know thatSin^2 A + cos^2 A = 1So , Sin^2 A = 1- cos^2 A Is it possible that Sin A = 1 - cos A​

No it's not possible...

SINA = 1 - COSA {A = 60°}

sin60° = 1 - cos 60°

1/√2 = 1 - 1/√2

1/√2 ≠ √2 - 1 / √2

So it's impossible..

THANK you ✌️☺️

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HOPE it will HELP you with your PROBLEM

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There are two sisters. If 1 is added to elder sister then the ratio of them is 0.5:1. If 2 is subtracted from younger sister then the ratio is 1:3. What is the ratio of them now?

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MARK as BRAINLIEST

किसी समांतर श्रेणी का 5 वां पद 11 तथा 9 वां पद 7 है तो 16 वां पद निकाले

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Solve for x and y : 254x+309y=55309x+254y=55

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Draw the graph of 4x+6y=18 2x+3y=9

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