Explore topic-wise InterviewSolutions in Current Affairs.

The mean and S.D. of $1,2,3,4,5,6$is

Two sets $A\&B$ such that $A=\varphi$ and $B=\left\{A\right\}$, then $n\left(B\right)=$

Let $S=S_1\cap S_2\cap S_3,$ where

$S_1=\{z\in C:|z|<4\}$

$S_2=\{z\in C:\mathrm{Im}\left[\frac{z-1+\sqrt{3}i}{1-\sqrt{3}i}\right]>0\}$ and $S_3=\{z\in C:\mathrm{Re}z>0\}$.



Area of S =

If x and y
are connected parametrically by the equation, without eliminating the
parameter, find.

x = a cos
θ, y = b
cos θ

Tweleve balls are distributed among three boxes. The probability that the first box contains three balls is

The converse of the contrapositive of the conditional statement $\sim p\to q$ is

Find the
modulus and argument of the complex number.

If $e^y(x+1)=1,\mathrm{then}\mathrm{the}\mathrm{value}\mathrm{of}\frac{d^{2}y}{{\mathrm{dx}}^2}$ is equal to

Let $f\left(x\right)=({\tan }^{-1}x{)}^3+({\cot }^{-1}x{)}^3$, where $x\in [-1,1].$ Then range of $f\left(x\right)$ is

Find the
equation of a curve passing through the point (0, –2) given
that at any point

on the curve, the product of the slope of its tangent and
y-coordinate of the point is equal to the x-coordinate
of the point.

If $A=si{n}^8\theta +co{s}^{14}\theta$, then for all real value of $\theta$

If $lo{g}_{12}27=a,thenlo{g}_{6}16=$

f(x) and g(x) are continuous functions such that ${lim}_{x\to a}\left[3f\right(x)+g(x\left)\right]=6and{lim}_{x\to a}\left[2f\right(x)-g(x\left)\right]=4$. Given that the function h(x).g(x) is continuous at x = a and h(a)=4, which of the following must be true?

$\cos 2\theta +2\cos \theta$ is always

Consider the plot of f(x) versus x as shown below:







Suppose F (x) = ${\int }_{-5}^x$ f(y) dy. Which one of the following is a graph of F(x)?

For
what values of?

If both the roots of $(2a-4)9^x-(2a-3)3^x+1=0$ are non-negative, then

Find the mean deviation about the mean for the data

4, 7, 8, 9, 10, 12, 13, 17

The co-ordinates of the ends of a focal chord of a parabola $y^2=4ax$ are $(x_1,y_1)$ and $(x_2,y_2)$, then $x_1{x}_2+y_1{y}_2$ is equal to

Question 2 (iii)

On comparing the ratios $\frac{a_1}{a_2}$, $\frac{b_1}{b_2}$ and $\frac{c_1}{c_2}$ , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident.

6x – 3y + 10 = 0

2x – y + 9 = 0

A letter is known to have come either from $TATANAGAR$ or from $CALCUTTA$. On the envelope, just two consecutive letter $TA$ are visible. What is the probability that the letter came from $TATANAGAR$.

If direction cosines of a vector of magnitude 3 are $\frac{2}{3},-\frac{9}{3},\frac{2}{3}$ and a > 0 then vector is____________

If x = a $co{s}^3\theta$,y=a $si{n}^3\theta$, then $1+{\left(\frac{dy}{dx}\right)}^2$ is

${lim}_{x\to 5}\frac{x^2-9x+20}{x^2-6x+5}$

Show that
the direction cosines of a vector equally inclined to the axes OX, OY
and OZ are.

Fill in the blank to make the statements true.​

The probability of an event which is impossible to happen is .​

The equation of the parabola whose focus is $(-6,-6)$ and vertex is $(-2,2),$ is

Solution set of the inequality ${\sin }^{-1}x\le {\cos }^{-1}x$ is