Explore topic-wise InterviewSolutions in Current Affairs.

If points $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ and $\overrightarrow{d}$ are coplanar and $\left(\sin \alpha \right)\overrightarrow{a}+\left(2\sin 2\beta \right)\overrightarrow{b}+\left(3\sin 3\gamma \right)\overrightarrow{c}-\overrightarrow{d}=0,$ then the least value of ${\sin }^2\alpha +{\sin }^{2}2\beta +{\sin }^{2}3\gamma$ is

Find the Cartesian equation of the line which passes through the point (- 2, 4, -5) and parallel to the line given by $\frac{x+3}{3}=\frac{y-4}{5}=\frac{z+8}{6}$

Find the equation of the lines through the point of intersection of the lines x-3y+1 = 0 and 2x+5y-9 = 0 and whose distance from the origin is $\sqrt{5}$.

Let n be positive integer such that $sin\frac{\pi }{2n}+cos\frac{\pi }{2n}=\frac{\sqrt{n}}{2}$. Then

If a chord of the circle $x^2+y^2=8$ makes equal intercepts $a$ on the coordinate axes, then

The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is

How many months does calculus takes to cover in class 11 (approx) ?

Given P(A) =and
P(B) =.
Find P(A or B), if A and B are mutually exclusive events.

The order of differential equation of all circles of given radius ‘a’ is …….

The equations of the straight lines passing the point $(2,3)$ and equally inclined to the lines $3x-4y=7$ and $12x-5y+6=0$ will be

If $f(x+y)=f\left(x\right)+kxy-2y^2\forall x,y\in R$ and $f\left(1\right)=2,f\left(2\right)=6,$ then which of the following is/are true :

If a cubic polynomial equation with real coefficients $f\left(x\right)=0$ has one complex root $a+ib,$ then the number of real roots will be .

if f(x)=cos [π]x+cos[πx] where [y] is the greatest integer function of y then f(π/2)=? Explain with steps please

A bag contains some white and black balls, all combinations being equally likely. The total number of balls in the bag is $12$. Four balls are drawn at random from the bag without replacement.

$\begin{array}{cccc}& \text{List - I}& \text{List -II}& \\ \text{(I)}& \text{probability that all the four balls are black}& \text{(P)}& \frac{14}{33}\\ & & & \\ \text{(II)}& \text{If the bag contains 10 black and 2 white balls,}& \text{(Q)}& \frac{1}{5}\\ & \text{then the probability that all four balls are black}& & \\ \text{(III)}& \text{If all the 4 balls are black then the probability,}& \text{(R)}& \frac{70}{429}\\ & \text{that the bag contains 10 black balls}& & \\ \text{(IV)}& \text{Probability that two balls are black and two are}& \text{(S)}& \frac{13}{165}\\ & \text{white is}& & \\ & & \text{(T)}& \frac{1}{3}\\ & & \text{(U)}& \frac{2}{9}\end{array}$



Which of the following is the only INCORRECT combination?

If $I=\underset{0}{\overset{1}{\int }}{x}^{x}dx$, then $I$ lies in the interval

If in a triangle ABC, $\angle C={60}^o,$ then $\frac{1}{a+c}+\frac{1}{b+c}=$

[IIT 1975]

If $A=\tan 1,B=\tan 2$ and $C=\tan 3,$ then the descending order of $A,B$ and $C$ is

Let C be the curve $y=x^3$ (where x takes all real values). The tangent at a point A meets the curve again at B. If the gradient at B is K times the gradient at A then K is equal to

Which of the following options is/are true?

$[A\in (0^{\circ },{90}^{\circ })]$

If |x| > 1, then $(1+x{)}^{-2}$ =

If $A(4,1),B(7,4),C(13,-2)$ are the three consecutive vertices of a rectangle $ABCD$, then the coordinates of $D$ are

Let $\overrightarrow{u}$ and $\overrightarrow{v}$ be the unit vectors such that $\overrightarrow{u}\times \overrightarrow{v}+\overrightarrow{u}=\overrightarrow{w}$ and $\overrightarrow{w}\times \overrightarrow{u}=\overrightarrow{v}$. Then the value of $\left[\overrightarrow{u}\overrightarrow{v}\overrightarrow{w}\right]$ is equal to

The value of $\lambda$ such that sum of the squares of the roots of the quadratic equation, $x^2+(3-\lambda )x+2=\lambda$ has the least value is:

Given that - 4 is a root of the equation $2x^3+6x^2+7x+60=0$. Find the other roots.

Sum of two prime numbers is $43,$ then their product is

If $\alpha ,\beta$ are the roots of $2x^2+6x+b=0$ and $\frac{\alpha }{\beta }+\frac{\beta }{\alpha }<2$ then b lies in the interval

If $\alpha$ and $\beta$ are the roots of $x^2–ax+b^2=0$, then ${\alpha }^2+{\beta }^2$ is equal to __________.

Calculate coefficient of variation from the following data :

$\begin{array}{ccccccc}\text{Income (in Rs):}& 1000-1700& 1700-2400& 2400-3100& 3100-3800& 3800-4500& 4500-5200\\ \text{No. of families}:& 12& 18& 20& 25& 35& 10\end{array}$

If $|x-1|+|x+1|=2$, then $x$ belongs to

Why in this chapter the question of mesurments are coming.

If the slope of the first line is half the slope of the second line and the tangent of the angle between them is $\frac{1}{4}$, then the slope of the first line can be

The number of tangent(s) to the curve $x^{3/2}+y^{3/2}=2a^{3/2},a>0,$ which are equally inclined to the axes is/are

If the sides of a triangle are in A.P. and the greatest angle of the triangle is double the smallest angle, then the ratio of the sides of the triangle is