Explore topic-wise InterviewSolutions in Current Affairs.

Match the lines given on the left side with their corresponding slopes on the right..
$\begin{array}{cc}\text{Line passes through the points}& \text{Slope of the line}\\ \text{p.) (1, 6) and (-4, 2)}& \text{1.) 0}\\ \text{q.) (5, 9) and (2, 9)}& \text{2.) -3}\\ \text{r.) (-2, -1) and (-3, 2)}& 3.)\frac{4}{5}\\ \text{s.) (4,0) and (3,3)}& \text{4.)}\frac{5}{3}\end{array}$

The line x + y = a meets the axes of x and y at A and B respectively. A triangle AMN is inscribed in the $\Delta$OAB, O being the origin, with right angle at N. M and N lie respectively on OB and AB. If the area of the $\Delta$AMN is $\frac{3}{8}$ of the area of the $\Delta$OAB, then $\frac{AN}{BN}$ is equal to

If sin2A = sin(90-3A). Find the value of sinA

$\text{The value of}\underset{n\to \infty }{lim}\frac{\sqrt[4]{4n^5+2}-\sqrt[3]{3n^2+1}}{\sqrt[5]{5n^4+2}-\sqrt[2]{2n^3+1}}is$

The arithmetic mean of a and b is $\frac{a^n+b^n}{a^{n-1}+b^{n-1}}$. The value of n is

Determine, the point in xy-plane, which is equidistant from the three points A(2,0,3),B(0,3,2),and C(0,0,1).

Find the distance of the line 4x+7y+5=0
from the point (1, 2) along the line 2x-y=0

The eccentricity of an ellipse is $\frac{2}{3}$ , latus rectum is 5 and centre is (0, 0). The equation of the ellipse is

Let $A=\{x:x=2n+1,n\in W\}$ and $B=\{y:y=2n,n\in N\}.$ If a relation $R$ is defined from $A$ to $B,$ then which of the following is void relation?

The value of x and y which satisfies the equation is $4^{sinx}+3^{\frac{1}{cosy}}=11and5.{16}^{sinx}-2.3^{secy}=2$

If $|$z$|$ = 3, then the points representing the complex numbers $-2+4z$ lie on a

If $a{\cos }^3\alpha +3a\cos \alpha {\sin }^2\alpha =m$ and $a{\sin }^3\alpha +3a{\cos }^2\alpha \sin \alpha =n$, then $(m+n{)}^{\frac{2}{3}}+(m-n{)}^{\frac{2}{3}}=$

The weighted mean of the first n natural numbers whose weights are equal to the corresponding numbers is

If the vertices P, Q, R of a triangle PQR are rational points, which of the following points of the triangle PQR is

(are) always rational point(s)

Find the coordinates of a point which equidistant from the four points $o(0,0,0),A(l,0,0),B(0,m,0)andC(0,0,n)$.

If the earth is at one-fourth of its present distance from the sun, the duration of the year will be

What is the probability that an ordinary year has 53 Tuesdays ?

Prepare accounting equation on the basis of the following

$\begin{array}{cc}& \\ & \left(Rs\right)\\ \text{(a) Harsha started business with cash}& 2,00,000\\ \text{(b) Purchased goods from Naman for cash}& 40,000\\ \text{(c) Sold goods to Bhanu costing Rs 10,000}& 12,000\\ \text{(d) Bought furniture on credit}& 7,000\end{array}$

The line joining the points A(-2, 1) and B(3, 4) is divided by the x-axis. Find the point of division?

If $sinx=co{s}^{2}x,thenco{s}^{2}x(1+co{s}^{2}x)$ equals

Coefficient of $x^3$ in the expansion of ${\left(\frac{1+x}{1-x}\right)}^2$, |x| < 1 is

Find the coefficient of $x^5$ in the expansion of $\left(\frac{(1+x{)}^{31}}{x}\right)$

If $X=\{8^n-7n-1|nϵN\}$ and $Y=\{49n-49|nϵN\}$, then

In a $△ABC,a=5,b=4andtan\frac{C}{2}=\sqrt{\frac{7}{8}}$. The side c is

If the sum of the $3^3+7^3+{11}^3+{15}^3+...\text{upto}20$ terms is $S_{20}$. Then the value of $S_{20}$ is___

Find the general solution of the equation:
4 sin x cos x + 2 sin x + 2 cos x + 1 = 0

Eight different letters of an alphabet are given. Words of four letters from these are formed. The number of such words with atleast one letter repeated is

If tan$\theta$ = $\frac{-4}{3}$, the $\theta$ lies in __________

Write the negation of each of the following statements in two different ways.

(i) Africa is a continent.

(ii) $\sqrt{5}$ is rational.

(iii) All integers are rational numbers.

(iv) Some prime numbers are odd numbers.

(v) Everyone in Germany speaks German.

If α,β be the roots of the equation then ${\alpha }^2+{\beta }^2$=

If $F\left(x\right)=f\left(x\right).g\left(x\right)and{f}^{\prime }\left(x\right)g^{\prime }\left(x\right)=c$ , where ‘c’ is a constant then $\frac{f‘‘}{f}+\frac{g‘‘}{g}+\frac{2C}{fg}$=

The sum of i - 2 - 3i + 4 + ....... upto 100 terms, which i = $\sqrt{-1}$

is

Equation of the hyperbola with foci (0,± 5) and e = $\frac{5}{3}$ is

If $xϵR$ and $m=\frac{x^2}{(x^4-2x^2+4)}$, then m lies in the interval

If α, β and γ are the roots of $x^3+8=0$, then the equation whose roots are ${\alpha }^2,{\beta }^{2}and{\gamma }^2$ is

Find the value of sin3θ/(1+2cos2θ)

cos

cos

sin

cos

If sin 3x + cos 2x = -2, then find the value of x

A person wishes to make up as many different parties as he can out of 20 friends with the condition that each party consists of the same number. How many should he invite at a time?

Express the complex number $sin\frac{\pi }{5}+i(1-cos\frac{\pi }{5})$ in polar form.

Let $S_1$ = ${}^n{C}_0$ + ${}^n{C}_1$ + ${}^n{C}_2$.............${}^n{C}_n$ and $S_2$ = ${}^n{C}_0$ - ${}^n{C}_1$ + ${}^n{C}_2$ ..............+ $(-1{)}^n$ ${}^n{C}_n$

Find the value of $\frac{S_1}{S_1+S_2}$

If |$z_1$| = 1, |$z_2$| = 2, |$z_3$| = 3 and |$9z_1{z}_2+4z_1{z}_3$| = 12, then the value of |$z_1$ + $z_2$ + $z_3$| is equal to:

The equation to the locus of a point which moves so that its distance from $x$-axis is always one half its distance from the origin, is

Show that the products of the corresponding terms of the sequences $a,ar,a{r}^2,.......a{r}^{n-1}andA,AR,A{R}^2,....A{R}^{n-1}$ form a G.P and find the common ratio.

If the equations $a{x}^2+bx+1=0and2x^2+4x+3=0$ have both the roots common, then the value of a + b is

The sum of 10 values is 100 and the sum of their squares is 1090. Find out the coefficient of variation.

The expression $nsi{n}^2\theta +2ncos(\theta +\alpha )sin\alpha sin\theta +cos2(\alpha +\theta )$ is independent of $\theta$, the value of n is

\(\if ~f(x) = ln \left ( \frac{x^2 +e}{x^2 + 1} \right ), then range of f(x) is