Explore topic-wise InterviewSolutions in Current Affairs.

If $\frac{sin(x+y)}{sin(x-y)}=\frac{a+b}{a-b}\text{, then}\frac{tanx}{tany}=$

If $|a|<1$ and $|b|<1$, then the sum of the series
$1+(1+a)b+(1+a+a^2)b^2+(1+a+a^2+a^3)b^3+\cdots$ is

If A = $\left[\begin{array}{ccc}1& 4& 5\\ 3& 2& 6\end{array}\right]$ then second element of second row of 3A = _____.

Let $z=\frac{\sqrt{3}}{2}-\frac{i}{2}.$ Then the smallest positive integer $n$ such that ${(z^{95}+i^{67})}^{94}=z^n$ is

If the tangents from (1,1) to the circle $x^2+y^2-4x+k$ = 0 are pendicular then k =

If $\overrightarrow{a}$ and $\overrightarrow{b}$ are two vectors with magnitude $1$ and $3$ respectively and $(1-3\overrightarrow{a}.\overrightarrow{b}{)}^2+|2\overrightarrow{a}+\overrightarrow{b}+3(\overrightarrow{a}\times \overrightarrow{b}){|}^2=98$.
Then find the angle between $\overrightarrow{a}$ and $\overrightarrow{b}$

The sum of integers from 1 to 100 that are divisible by 2 or 5 is

The general solution of the differential equation $(e^x+1)ydy=(y+1)e^{x}dx$ is (where $c$ is a constant of integration)

Determine the number of 5 cards combinations out of a deck of 52 cards if there is exactly one ace in each combination.

If A = {1, 3, 5, 7, 9} and B = {2, 4, 6, 8}, then the set builder representation of A U B is

Let $e_1$ and $e_2$ are the eccentricities of $16x^2+9y^2=144$ and $16x^2-9y^2=144$ respectively, then which of the following is/are correct

If in a triangle $ABC,$ $(a+b+c)(b+c-a)=\lambda bc,$ then :

Evaluate the following :

$\left(i\right)2x^3+2x^2-7x+72,whenx=\frac{3-5i}{2}\left(ii\right)x^4-4x^3+4x^2+8x+44,whenx=3+2i\left(iii\right)x^4+4x^3+6x^2+4x+9,whenx=-1+i\sqrt{2}\left(iv\right)x^6+x^4+x^2+1,whenx=\frac{1+i}{\sqrt{2}}\left(v\right)2x^4+5x^3+7x^2-x+41,whenx=-2-\sqrt{3}i$

Which one of the images are symmetrical?

$\underset{x\to 0}{lim}\frac{1-cosx}{x^2}is-------------$

For the following, form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.

$\frac{x}{a}+\frac{y}{b}=1$

Which of the following is an indeterminate form (where $[.]$ denotes greatest integer function)

If $kϵN$ and $I_k={\int }_{-2k\pi }^{2k\pi }|\sin x|\left[\sin x\right]dx$, (where [.] denotes greatest integer function), then

Evaluate:
$\left|\begin{array}{ccc}0& x{y}^2& x{z}^2\\ x^{2}y& 0& y{z}^2\\ x^{2}z& z{y}^2& 0\end{array}\right|$

If for a complex number $z_1$ and $z_2$, $\arg \left(z_1\right)-\arg \left(z_2\right)=0$, then $|z_1-z_2|$ is equal to

If circle $x^2+y^2-6x-10y+c=0$ does not touch (or) intersect the coordinates axes and the point $(1,4)$ is inside the circle, then the range of $c$ is

Let A and B be independent events with P(A) = 0.3 and P(B) = 0.4 Find
$P\left(\frac{A}{B}\right)$.

If $(a+\sqrt{2}b\cos x)(a-\sqrt{2}b\cos y)=a^2-b^2$, where $a>b>0$, then $\frac{dx}{dy}$ at $(\frac{\pi }{4},\frac{\pi }{4})$ is

Integrate the following functions.
$\int \frac{sinx}{1+cosx}dx.$

The coefficient of the middle term in the binomial expansion in powers of $x$ of $(1+\alpha x{)}^4$ and of $(1-\alpha x{)}^6$ is the same, if $\alpha$ equals

The value of $\underset{x\to \infty }{lim}\left[\frac{(8^{\left(x^n/e^x\right)}-{27}^{\left(x^n/e^x\right)})e^x}{(4^{\left(x^n/e^x\right)}+6^{\left(x^n/e^x\right)}+9^{\left(x^n/e^x\right)})x^n}\right],$ where $n\in N$ is

Find
the inverse of each of the matrices, if it exists.

If $f\left(x\right)={\sin }^{4}x+{\cos }^{4}x-\frac{1}{2}\sin 2x,$ then the range of $f\left(x\right)$ is