Explore topic-wise InterviewSolutions in Current Affairs.

If $0<\theta \frac{\pi }{2}$, and if $\frac{y+1}{1-y}=\sqrt{\frac{1+sin\theta }{1-sin\theta }}$, then y is equal to

The value of $tan\theta sin(\frac{\pi }{2}+\theta )cos(\frac{\pi }{2}-\theta )$ is

Find x from the following equations:

$\left(i\right)cosec({90}^{\circ }+\theta )+xcos\theta cot({90}^{\circ }+\theta )$

$=sin({90}^{\circ }+\theta )$

$\left(ii\right)xcot({90}^{\circ }+\theta )+tan({90}^{\circ }+\theta )sin\theta +cosec({90}^{\circ }+\theta )=0$

If $A=\{1,2,3,4,5,6\},B=\{3,6,9,12\},C=\{6,12,18,20\}$, then $n\left\{\right(A\times B)\cap (A\times C\left)\right\}=$

The value of $\sum _{r=1}^{19}\frac{{}^{20}{C}_{r+1}\cdot (-1{)}^r}{2^{2r+1}}$ is

Find the real values of $\theta$ for which the complex number $\frac{1+icos\theta }{1-2icos\theta }$ is purely real.

The number of solutions of $3^{|x|}(|2-|x||)=1$ is

The standard deviation of $10$ observations $111,211,311,...,1011$ is

If for a sample of size 60, we have the following information ${\sum }_i^2=18000$ and ${\sum }_i=960$ , then the variance is

If $R=\left\{\right(x,y)|x,y\in Z,x^2+y^2\le 4\}$ is a relation in $Z$, then domain of $R$ is

For $A(1,-2,4),B(5,-1,7),C(3,6,-2),D(4,5,-1)$, the projection of $\overrightarrow{AB}$ on $\overrightarrow{CD}$ is

Number of solutions of the equation $|\cot x|=\cot x+\frac{1}{\sin x}$ in $x\in [0,2\pi ]$ is

Parametric equation of the circle $x^2+y^2-6x+8y+16=0$ are

Why is finding the slope of a line or a curve is very important?

Tangents are drawn from the points on a tangent of the hyperbola $x^2-y^2=a^2$ to the parabola $y^2=4ax$. If all the chords of contact pass through a fixed point $Q$, then the locus of the point $Q$ for different tangents on the hyperbola is

Find the maximum and minimum values, if any, of the following function given by,

$h\left(x\right)=x+1,xϵ(-1,1)$

Find the value of $ta{n}^{-1}(-\frac{1}{\sqrt{3}})+co{t}^{-1}\left(\frac{1}{\sqrt{3}}\right)+ta{n}^{-1}\left[sin\left(\frac{-\pi }{2}\right)\right].$

Let A={a1,a2,a3,a4,a5} and B={b1,b2,b3,b4,b5} where ai's and bi's are school going students . Define a relation from A to B by xRy iff y is a true friend of x . If R={(a1,b1),(a2,b2),(a3,b3),(a4,b4),(a5,b5)} . Prove that R is neither one one nor onto

Find $\frac{dy}{dx}$, if x and y are connected parametrically by the equations given in questions without eliminating the parameter.

$x=a(cos\theta +\theta sin\theta ),y=a(sin\theta -\theta cos\theta )$

If product of $n$ positive numbers is unity. The sum of these numbers can not be less than

CotA+cosecA-1/cotA-cosecA+1=1+cosA/SinA=sinA/1-cosA

Please click the photo properly

What is the difference between Identity relation and reflexive relation ?

If $\overrightarrow{a}=\hat{i}+\hat{j}-\hat{k},\overrightarrow{b}=\hat{i}-\hat{j}+\hat{k}$ and $\overrightarrow{c}$ is a unit vector perpendicular to the vector $\overrightarrow{a}$ and coplanar with $\overrightarrow{a}$ and $\overrightarrow{b}$, then direction cosines of a vector which is perpendicular to both $\overrightarrow{a}$ and $\overrightarrow{c}$ are

Write the set in roster form

The set of all integers 'x' such that | x minus 3 | <8

Locus of circumcentre of ∆ OAB is __________

Urn A contains 9 red balls and 11 white balls. Urn B contains 12 red balls and 3 white balls . One is to roll a single fair die. If the result is a one or a two, then one is to randomly select a ball from urn A. Otherwise one is to randomly select a ball form urn B. The probability of obtaining a red ball is ?

If $\int \frac{\cos \left(4x\right)+1}{\cot x-\tan x}dx=f\left(x\right)+C,$ where $C$ is a constant of integration, then $f\left(x\right)$ is

Given that $|z-1|=1$, where $z$ is a non zero point on the complex plane, then $\frac{z-2}{z}$ is equal to :

At what time between 5 and 6 o’clock are the hands of a clock 3 minutes apart? (IBPS PO)

Let $\cos A+\cos B=x$; $\cos 2A+\cos 2B=y$; $\cos 3A+\cos 3B=z$, then which of the following is true?

If ${\int }_0^x(\frac{x}{1+sinx}{)}^{2}dx=\lambda ,then{\int }_0^{\pi }\frac{2x^{2}co{s}^2\frac{x}{2}}{(1+sinx{)}^2}dx$ is

If a sequence $\left\{a_n\right\}$ is defined as
$a_n=\{\begin{array}{c}\frac{1}{n},\text{when}n\text{is odd}\\ -\frac{1}{n^2},\text{when}n\text{is even}\end{array}$
where $n\in N$, then the sum of first four terms is

The general solution of a differential equation is $y=k{e}^x$. The particular solution of the equation if the curve passes through (0,1) is .

Let $C_1$ and $C_2$ be two curves which satisfy the differential equation $2{\left(\frac{dy}{dx}\right)}^2+x\left(\frac{dy}{dx}\right)=y$ and passes through
(1, 1). If the area enclosed by the curves $C_1,C_2$ and the axis is $\frac{m}{R}$ then m+n=___

If ${\tan }^{-1}(x+1)+{\tan }^{-1}(x-1)={\tan }^{-1}\left(\frac{8}{31}\right)$, then $x$ is equal to

The sum of $\frac{3}{1\cdot 2}\left(\frac{1}{2}\right)+\frac{4}{2\cdot 3}{\left(\frac{1}{2}\right)}^2+\frac{5}{3\cdot 4}{\left(\frac{1}{2}\right)}^3+\cdots$ upto $n$ terms is

The common chord of the circles $x^2+y^2-4x-4y=0$ and $2x^2+2y^2=32$ subtends at the origin an angle equal to

If the points represented by complex numbers $z_1$ = $a+ib$,$z_2$ = $a^1+i{b}^1$ and $z_1-z_2$ are coliinear, then

A subset S of the set of numbers {2, 3, 4, 5, 6, 7, 8, 9, 10} is said to be good if it has exactly 4 elements and their greatest common divisor is 1. Let ‘n’ be the number of good subsets. Then the units digit of ‘n’ is___

If Z is the brother of X, how X is related to Y?

To answer this question which of the statements is/are necessary?

1. The son of Z is the grandson of Y.

2. X is the sister of Z.

The value of sin 15^o cos 15^o is equal to

In a class of $50$ students, the mean and variance of the marks scored in mathematics is $8.4$ and $20$ respectively. If there are $30$ boys in the class and their mean and variance of marks scored in mathematics is $8.25$ and $24$ respectively, then the variance of marks scored by the girls will be