Explore topic-wise InterviewSolutions in .

For which of the following curves, the line $x+\sqrt{3}y=2\sqrt{3}$ is the tangent at the point $(\frac{3\sqrt{3}}{2},\frac{1}{2})$ ?

Differentiate the following functions with respect to x :

$\frac{2x^2+3x+4}{x}$

If $tan\theta +sec\theta =\sqrt{3},0<\theta <\pi$ then is $\theta$ equal to

1. 0.7521

If A and B have n elements in common, then the number of elements common to A $\times$ B and B $\times$ A is

Which of the following types of functions are called monotonic functions

Prove that the point A(1, 3, 0), B(-5, 5, 2), C(-9, -1, 2) and D(-3, -3, 0) taken in order are the vertices of a parallelogram. Also, show that ABCD is not a rectangle.

Find the length of subtangent on the curve y = $\frac{x}{1+x}$ where the slope of the tangent is $\frac{1}{9}$

[ The point where the tangent is drawn is in first quadrant ]

1. 6

The image of the point P(3, 5) with respect to the line y = x is the point Q and the image of Q with respect to the line y = 0 is the point R(a, b), then (a, b) =

Mode of the distribution



$\begin{array}{cccccc}\text{Marks}& 4& 5& 6& 7& 8\\ \text{No. of students}& 3& 5& 10& 6& 1\end{array}$

The value of integral $\underset{0}{\overset{\pi /4}{\int }}[\sin x+[\cos x+[\tan x+[\sec x\left]\right]\left]\right]dx$ is equal to, (where $[\cdot ]$ denotes the greatest integer function)

FIND THE GENERAL solution 2cos square x +3sinx=0

Which of the following is/are representing the stationary point(s) of function $f\left(x\right)=4x^3-6x^2-24x+9$

Find the scalar components and hence magnitude of the vector joining the points $P(x_1,y_1,z_1)andQ(x_2,y_2,z_2)$.

If $y={\tan }^{-1}\sqrt{\frac{a-x}{a+x}},-a<x<a,$ then $\frac{dy}{dx}$ is equal to

The sum of squares of deviations for 10 observations taken from mean 50 is 250. The coefficient of variation is

If the angle between the lines, $\frac{x}{2}=\frac{y}{2}=\frac{z}{1}$ and $\frac{5-x}{-2}=\frac{7y-14}{p}=\frac{z-4}{4}$ is ${\cos }^{-1}\left(\frac{2}{3}\right)$, then $p$ is equal to:

$\int \frac{si{n}^{2}x}{1+cosx}$

The area bounded by the curve $y=\sin x,x-$axis and between $x=0,x=\pi$ is

1. 1.69

Evaluate $\int (x\cdot \cos x\cdot \cos 2x)dx$

(where $C$ is constant of integration)

Sum of the first p, q and r terms of an A.P. are a,
b and c, respectively.

Prove that

In YDSE, both slits are equally illuminated. Intensity at point where path difference is $\frac{\lambda }{6}$ is K. What will be the intensity where path difference is $9\frac{\lambda }{4}$?

If $r^2-13r+40=0$, then the value of ${}^7{C}_r$ is

If $x^2+y^2+\sin y=4,$ then the value of $\frac{d^{2}y}{d{x}^2}$ at the point $(-2,0)$ is :

Period of the function $f\left(x\right)=\tan \left(\frac{x}{3}\right)+\sin 2x$ is

If P(n) is the statement "$n^2-n+41$ is prime", prove that P(1), P(2) and P(3) are true. Prove also that P(41) is not true.

If $f\left(x\right)=|||x|-2|+p|$ has more than $3$ points of non differentiability, then the value of $p$ can be:

The number of solution(s) of the equation $3\tan (x-\frac{\pi }{12})=\tan (x+\frac{\pi }{12})$ in $A=\{x\in R:x^2-6x\le 0\}$ is

If a, b c are in HP then the expression $a(b-c)x^2$ + b(c-a)x + c(a-b)