Explore topic-wise InterviewSolutions in Current Affairs.

Find the number of integer solutions of $9x$ $\equiv$ $2\left(\text{mod}63\right)$.

If arg ($Z_1$) = $\alpha$ , arg ($Z_2$) = $\beta$, the value of $|Z_1+Z_2{|}^2$ is

Find the direction cosines of a line which makes an angle θ with all three the coordinate axes.

If f(y) =$e^y$, g(y) = y ; y > 0 and F(t) = ${\int }_0^{t}f(t-y)$ g(y) dy, then

Set of values for $p$ for which the function given by $f\left(x\right)=x^3-2x^2-px+1$ is one-one function $\forall x\in R$ is

Write the equation of the parabola whose vertex is at (-3,0) and the directrix is x+5=0

Let $n\left(A\right)=m,n\left(B\right)=n$, then the total number of non-empty relations that can be defined from $A$ to $B$ is

cos 2x cos 4x
cos 6x

then x equal to

If the roots of the equation $a{x}^2+bx+1=0$ reamians unchanged if each coefficient of the equation is increased by $1$ units, then

Show that each of the following sequences is an A.P. Also, find the common difference and write 3 more terms in each case.

(i) $3,-1,-5,-9\dots \dots$

(ii) $-1,\frac{1}{4},\frac{3}{2},\frac{11}{4},\dots \dots$

(iii) $\sqrt{2},3\sqrt{2},5\sqrt{2},7\sqrt{2},\dots \dots$

(iv) $9,7,5,3,\dots \dots$

Find the equation of the straight line which has y-intercept equal to $\frac{4}{3}$ and is perpendicular to $3x-4y+1=0.$

If (cos$\theta$+isin$\theta$)(cos2$\theta$+isin2$\theta$)

(cosn$\theta$+isinn$\theta$)=1, then the value of $\theta$ is

If from the vertex of the parabola $y^2=4ax$ pair of chords be drawn perpendicular to each other and with these chords as adjacent sides a rectangle is completed then the locus of the vertex of the farther angle of the rectangle is the parabola

Let $S$ be the set of all complex numbers $z$ satisfying $|z-2+i|$ $\ge \sqrt{5}$. If the complex number $z_0$ is such that $\frac{1}{|z_0-1|}$ is the maximum of the set $\{\frac{1}{|z-1|}:z\in S\}$,then the principal argument of $\frac{4-z_0-\overline{z_0}}{z_0-\overline{z_0}+2i}$ is

The set of all letters of the word $"DIFFERENTIATION"$ can be written in roster form as:

How is row and column operations are done

The minimum value of $\frac{(6+x)(11+x)}{(2+x)},x\ge 0$ is

The area occupied between the curve $xy=a^2,$ the vertical lines $x=a,x=4a(a>0)$ is

A variable plane $\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1$ at a unit distance from origin cuts the coordinate axes at A, B and C. Centroid (x,y,z) satisfies the equation $\frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}=K$ is

If $\sqrt{2x-5}<3$, then $x\in$

Determine the points on z-axis which is equidistant from the points (1, 5, 7) and (5, 1, -4)

The position vector of point $A$ is $(4,2,-3)$. If $p_1$ is perpendicular distance of $A$ from XY-plane and $p_2$ is perpendicular distance from Y-axis, then $p_1+p_2$ is

If the angle between the two lines represented by $2x^2+5xy+3y^2+6x+7y+4=0$ is ${\tan }^{-1}\left(m\right),$ then the value(s) of $m$ is/are

Evaluate $\int (x^{12}+{12}^x)dx$

(where $C$ is constant of integration)

Solution of the equation $2ta{n}^{-1}\left(cosx\right)=ta{n}^{-1}\left(2cosecx\right)$ is

If ‘$A_i$’ is the area bounded by bounded by $|x-a_i|+|y|=b_i,iϵN,where{a}_{i+1}=a_i+\frac{3}{2}{b}_{i}and{b}_{i+1}=\frac{b_i}{2},a_1=0,b_1=32$ then

The value of $2c_0+\frac{2^2}{2}{C}_1+\frac{2^3}{3}{C}_2+\frac{2^4}{4}{C}_3+....+\frac{2^{11}}{11}{C}_{10}is$

$Find\frac{d}{dx}\left(2^{co{s}^{2}x}\right)$

The minimum distance between the origin and the plane which is perpendicular bisector of the line joining the points $(1,3,5)$ and $(3,7,-1)$, is

The equation of the circle circumscribing the triangle formed by the line $x+y=6,2x+y=4$ and $x+2y=5$, is

sin^{​​​​2_​​​}​​​15+sin^{​​​​2}​​​645

A regular die numbered 1 - 6 is rolled 50 times and the observations are taken in a table :

$\begin{array}{cc}\text{Score}& \text{Frequency}\\ 1& 15\\ 2& 9\\ 3& 8\\ 4& 5\\ 5& 6\\ 6& 8\end{array}$

Calculate the Median.