Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

67151.

146000 candidates anof which 60%didates appeared in an examinationwhich 60% were boys. If 12% of thes and 14% of the boys failed in theexamination, find the following:. The number of successful candidates. The percentage of successful candidates

Answer»
67152.

1 Shoto that the system of equationshas a unique solution. Find the solution

Answer»
67153.

Line 1 : y.=-x-2This system of equations is: This means the system has:Line 2 : y =-x + 1u2D inconsistenta unique solutionSolution: (MmNo consistent independent| O infinitely many solutions+-consistent dependente) no solution

Answer»

Here a1/a2 = b1/b2 not equal to c1/c2

InconsistentNo solution

67154.

If ax^2 +bx +c=0 has equal roots then value of "c" equal to

Answer»
67155.

(a2b3c).(abc)(a bc2has the value equal toIfVabcp then m +n+p112

Answer»

(a^2b^3c)^4.(abc)^3/(a^3bc^-1)^2= (a^mb^nc^p)^1/2

(a^8b^12c^4).(abc)^3/(a^3bc^-1)^2= (a^mb^nc^p)^1/2

(a^[8+3-3]b^[12+3-2]c^[4+3+2])= (a^mb^nc^p)^1/2

(a^8b^3c^9) = (a^mb^nc^p)^1/2

Since base is same powers are equal

m/2 = 8, n/2 = 3, p/2 = 9m = 16, n = 6, p = 18

Thereforem + n + p = 16 + 6 + 18 = 40

67156.

If x+-= 8, then the value of x.Ais equalf x^{4}+\frac{1}{x^{4}} \text { is } e is equal to:

Answer»

It is given that ,

x + 1/x = 8 ---( 1 )

Do the square of equation ( 1 ),

( x + 1/x )² = 8²

x² + 1/x² + 2 = 64

x² + 1/x² = 64 - 2

x² + 1/x² = 62 --( 2 )

Again do the square of equation ( 2 ),

( x² + 1/x² )² = 62²

x⁴ + 1/x⁴ + 2 = 3844

x⁴ + 1/x⁴ = 3844 - 2

= 3842

67157.

e value of12 is equal to

Answer»
67158.

3 ,,26. If the sum of the roots of av + 2x +3a-0 is equal thr product them thte value of) .6.s of ax2 + 2x + 3a = 0 is equal to their product then the value of a is-a)-, b)c)d)2

Answer»
67159.

\sqrt{\frac{1-\cos A}{1+\cos A}}+\sqrt{\frac{1+\cos A}{1-\cos A}}=2 \csc A

Answer»

tkanks

67160.

Show that the system of equations2x+5y-17, 5x + 3y-14has a unique solution. Find the solution.

Answer»
67161.

stion No. 1 to 50 havefoon, on the OMR - Shee[sin2x) = ?dx

Answer»
67162.

tan-1(sin2x/1+cos2x) dx

Answer»

sin2x / (1+cos2x) = 2sinxcosx/2cosxcosx = tanx

tan^(-1)(tanx) = x

67163.

integration of log sin2x dx in the definite integrals of 0 to π/2

Answer»
67164.

j (Cos6x + Cos2x) dx =a) Smóz+Stnz Cc)04:Sin6x, Sin2xb)66sin6x Cos2d)62

Answer»
67165.

25. j sin2x dx=

Answer»

It will be cos2x/2+c

67166.

t/4Inv1+ sin2x dx has the value equal to:

Answer»
67167.

10. Find the measure of the acute angle between thelines represented by

Answer»
67168.

The length of the tangent drawn from a pnt 8 em away from the centre of A čtldile,dius 6 em, is:113/2、//(C) 10 cm(D) 5 cmcmCnn

Answer»
67169.

y 3x +5 has(i) a unique solution,

Answer»

No it has infinite many solution as there is no restrictions on variable x and y. so take any value of x we can find a corresponding y.

67170.

(c) Solve the given pair of simultaneous equations:4x + = 15;6x - 14 =Accotian's

Answer»
67171.

+ 12 = 44 is given by:3. The solution of the pair of equationsa. x = 2, y = 3 b. x= -2, y =3-c. x = 1 / 4 = 3Xc.Xd. x = - 1 2 3 4 = 1/2=

Answer»
67172.

Solve each of the following pairs of equations1. 8r+ 5y = 9 2. 2x+3y=83x+2y = 44x + 6y = 7TRY THISSolve the given pair of linear equationsa - b)x+ (a + b)y = a - 2ab-b?a+b) (x + y) = a + b2

Answer»

8x+5y=9; 3x+2y=4; 2(8x+5y=9)=16x+10y=18; 5(3x+2y=4)=15x+10y=20;/ x=2; 8x+5y=9; 8(2)+5y=9; 5y=9-16=-7; y=-7/5;;

67173.

1 sin2x dx =

Answer»

Answer - (cos2x)/2 + cplease like the solution 👍 ✔️

67174.

find derivative of (cos^(-1))(cos(x^(1/2)))

Answer»
67175.

1+sin2x

Answer»

first of all we will focus on these formulas.1= sin^2 x + cos^2 x ...............(1)sin 2x =2 sin x cos x .................(2)now put these values in question.sin^2 x + cos^2 x + 2 sin x cos x (sin x + cos x)^2 •.• [a^2 +b^2 +2ab]so the answer is (sin x + cos x)^2 .

67176.

Sin2x-sin4x+sin6x=0

Answer»

1

2

4

67177.

Find derivative of \left(4 x^{2}+9\right) e^{x}

Answer»

derivative of e^x(4x^2+9)

67178.

Aluminiumacphate andoxiche reacts withwater.sulphuric acid to producealuminium

Answer»

Al2(SO4)3+ H2O this reaction will take place

Aluminum oxide react with sulfuric acidAl2O3+ 3H2SO4-------->Al2(SO4)3+ 3H2O

Aluminum oxide react with sulfuric acid to produce aluminium sulfate and water.

67179.

Find the value of k if the pair equations given has infinitely many solution:4x - 3y - (k-2) = 0

Answer»

Please post complete information of the question.

Please post the complete question

67180.

: Find the angle between the straight lines represented by

Answer»

angle between two lines in 2nd degree equation is given by

tan∅ = 2√h²-ab/(a+b). where 2h = 5 , a = 2 and b = 2

=> tan∅ = 2*√(25/4-4)/(2+2) = 2√(9/4)/(4) = 3/4

=>∅ = tan-¹(3/4)

67181.

Find the value of p for which the lines represented by the pair of equationsintersect at a unique point:-3x + 5y 7(2p-5)x-3y !

Answer»

So,

-3x + 5y = 7

(2p - 5)x - 3y = 1

For unquie solution

-3/(2p - 5) ≠ 5/(-3)

(-3) × (-3) ≠ 5 ( 2p - 5)

9 ≠ 10p - 25

34 ≠ 10p

p ≠ 34/10

67182.

sin2x. difrensition

Answer»
67183.

interrogation of sin2x

Answer»
67184.

be multiplied to get 12?10. By what number should(a) 1uu(c) 1(b)(d)

Answer»
67185.

/31. Write a rational number between /2 and2, lf 18, a, b, -3 are in AP, then find a + b.3. Find whether the lines represented by 2x + yintersecting.

Answer»

If 18, a, b, - 3 are in AP

Then common differenced = a - 18 = - 3 - b

Then,a + b = 18 - 3a + b = 15

67186.

about raw data

Answer»

Raw data(sometimes called sourcedataor atomicdata) isdatathat has not been processed for use.

67187.

15. The equationx-2-0 on cartesian plane is represented by(A) a line(B) a point(C) infinitely many lines(D) 2

Answer»
67188.

n a parallelogram the lengths of adjacent sides are known. Do we stilmeasures of the angles to construct the parallelogram?5) For a regularnolveon ot p vtes lo aly 1s0 is the measure ot the sum of its

Answer»
67189.

find the derivative of Xsquare×cosx÷sinx

Answer»
67190.

Find the derivative off(x) = 10x.

Answer»
67191.

Find f(x,y) = y.e^x, find the first order partial derivative.

Answer»
67192.

Find derivative of tan-i (sin2x).

Answer»

The derivative oftan−1xis11+x2(for "why", see note below)

So, applying the chain rule, we get:

ddx(tan−1u)=11+u2⋅dudx

In this questionu=2x, so we get:

ddx(tan−12x)=11+(2x)2⋅ddx(2x)

=21+4x2

Note

Ify=tan−1x, thentany=x

Differentiating implicitly gets us:

sec2ydydx=1, so

dydx=1sec2y

From trigonometry, we know that1+tan2y=sec2y

sodydx=11+tan2y

and we havetany=x, so we get:

Fory=tan−1x, the derivative is:

dydx=11+x2

67193.

If ф is a root of equation x2 + px-4 = 0 and the equation x2 + px + g = 0 has equal roots. Find valueof p and g.

Answer»
67194.

A )5 (90 R , +(213) ; w9 =2 - = . ÂŤ ÂŤ

Answer»
67195.

14. Quadratic polynonual 2x2-3x + 1 has zeroes as α and β.Now form a quadratic polynomial whose zeroes are 3u andза3

Answer»

Please hit the like button if this helped you out

67196.

Q17. Solve the following pair of equations graphically 2x + 3y = 12 and x - y - 120.Shade the region between the two lines represented by the above equations andthe x-axis. Write the vertices of triangle and also find its arca.

Answer»

If you have some problem on this answer you can ask.

67197.

in two vaniraw the graph of each of the following linear equations(iii) y=3x(ii) x-y 2

Answer»
67198.

Findthemeall alyApeidituie ol 1o0d by asuitabie metiou7. To find out the concentration of SO, in the air (in parts per million, i.c. ppm), thewas collected for 30 localities in a certain city and is presented below:Concentration of SO, (in ppm)0.00-0.040.04 0.080.08 0.120.12 - 0.160.16 0.200.20-0.24Frequency44Find the mean concentration of SO, in the air.

Answer»
67199.

DateS. find th valueaぎm

Answer»

hit like if you find it useful

67200.

19If the coefficients of 2nd, 3rd and 4th terms inthe expansion of (1+ x)" are in AP, then find thevalue of n.

Answer»