Explore topic-wise InterviewSolutions in Current Affairs.

Equation of the circle inscribed in $|x-2|+|y-5|=4$ is

Examine the consistency of the system of equations

$3x-y-2z=2,2y-z=-1,3x-5y=3$

If $A(\cos \alpha ,\sin \alpha ),$ $B(\cos \beta ,\sin \beta ),$ $C(\cos \gamma ,\sin \gamma )$ are the vertices of $△ABC$ and $H,G,S$ are the orthocentre, centroid and circumcentre of $△ABC$ respectively, then which of the following is/are true?

A question can be solved by $2$ methods. The probability of getting the correct answer using the method I and II are $\frac{1}{7}$ and $\frac{1}{8}$ respectively. If the problem was solved incorrectly then the probability that method I is

Shweta while giving an exam saw question no.XIV in her question paper. How can she find out what number is XIV? [3 MARKS]

A discrete random variable X has the probability distribution as given below

$\begin{array}{ccccc}X& 0.5& 1& 1.5& 2\\ P\left(X\right)& k& k^2& 2k^2& k\end{array}$

Determine the mean of the distribution.

Construct $2\times 2$ matrix,$A=\left[a_{ij}\right]$ whose elements are given by
$\left(iii\right)a_{ij}=\frac{(i+2j{)}^2}{2}$

If $15$ books are arranged in a row then the number of ways of choosing $4$ books such that all the four books are not together is

The sum of 5th term and 6th term is equal to $0$ of the expansion of the term $(2a-b{)}^n$. The value of a/b is

If (n+2)!= 60 [(n-1)!], find n.

If $\frac{2x-3y}{5x-4y}=\frac{3}{2}$, then the value of $\frac{7x+4y}{7x-4y}$ is

Find the real values x satisfying ${\log }_{10}$ x+ ${\log }_{10}$ (2-x) < 1 .

Let $P$ be a non-zero polynomial such that $P(1+x)=P(1–x)$ for all real $x$, and $P\left(1\right)=0$. Let $m$ be the largest integer such that $(x–1{)}^m$ divides $P\left(x\right)$ for all such $P\left(x\right)$. Then $m$ equals

Find the distance of the point (3, 5) from the line 2x + 3y = 14 measured parallel to the line x - 2y = 1.

|a vector + b vector|=|a vector - b vector| then the angle between a vector and b vector is what. Please explain

A circle of maximum area is inscribed inside an ellipse. If p is the probability that a point within the ellipse chosen at random lies outside the circle, then the eccentricity of the ellipse is

A.√(1-p) B. √{1-(1-p)²} C. √(1-p²) D.√{(1+p)²-1}

Find the locus the mid-point of focal chords of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1?$

Find the value of $\underset{x\to 0}{lim}\frac{\sqrt{a+x}-\sqrt{a}}{x}$

(i) All birds sing.

(ii) Some even integers are prime.

(iii) There is a complex number which is not a real number.

(iv) I will not go to school.

(v) Both the diagonals of a rectangle have the same length.

(vi) All policemen are thieves.

A value of b for which the equations
$x^2+bx-1=0x^2+x+b=0$
have one root in common is -

The value of $tan[si{n}^{-1}\left(\frac{3}{5}\right)+co{s}^{-1}\left(\frac{3}{\sqrt{13}}\right)]$ is

Fill all the roots of the equation.

$x^6$ - $x^5$ + $x^4$ - $x^3$ + $x^2$ - x + 1 = 0 1 + x $\ne 0$

If 2nd, 3rd and 4th terms in the expansion of $(x+y{)}^n$ be 240, 720 and 1080, then n is:

Determine the average of all four digit numbers that can be made using all the digits $2,3,5,7$ and $8$ exactly once?

If $x$ satisfies the inequality ${\log }_{(x+3)}(x^2-x)<1,$ then

Write the number of arrangements of the letters of the word BANANA in which two N's come together.

$\underset{x\to \epsilon }{lim}\frac{Inx-1}{|x-e|}\text{is equal to}$

The range of the function $f\left(x\right)=\cos \left[x\right]$ for $-\frac{\pi }{2}<x<\frac{\pi }{2}$ is ([•] denotes Greatest Integer Function)

A parabola passing through the point (-4,-2) has its vertex at the origin and y-axis as its axis. The latus rectum of

the parabola is

If $e^y(x+1)=1,\mathrm{then}\mathrm{the}\mathrm{value}\mathrm{of}\frac{d^{2}y}{{\mathrm{dx}}^2}$ is equal to

For the curve represented implicitly as $3^x-2^y=1$, the value of $\underset{x\to \infty }{lim}\left(\frac{dy}{dx}\right)$ is

A box contains 2 black, 4 white, and 3 red balls. One ball is drawn at random from the box and kept aside.From the remaining balls in the box, another ball is drawn at random and kept aside the first. This process is repeated till all the balls are drawn from the box. The probability that the balls drawn are in the sequence of 2 black, 4 white, and 3 red is

The coordinates of a point on the line $\frac{x-1}{2}=\frac{y+1}{-3}=z$ at a distance $4\sqrt{14}$ from the point (1, –1, 0) nearer the origin are

Solution of equation $tan\left(co{s}^{-1}x\right)=sin\left[co{t}^{-1}\frac{1}{2}\right]$ is

The number of solution satisfying the question $\left|\begin{array}{cc}1+si{n}^3\theta & 1\\ -co{s}^3\theta & 1\end{array}\right|=\left|\begin{array}{cc}cos\theta & 4cos\theta \\ 0& 3sin\theta \end{array}\right|in\theta ϵ(0,4\pi )$ is equal to ___

Equation of plane which is parallel to X - axis will be -

If $\int \frac{8x^{43}+13.x^{38}}{(x^{13}+x^5+1{)}^4}dx=\frac{1}{3}.\frac{x^a}{(x^b+x^c+1{)}^3}+C$ where $a,b,cϵN,(a>b>c$ and where C is a constant of integration), then

Find the locus of P if $P{A}^2+P{B}^2=-2k^2$where A and B are the points (3, 4, 5) and (-1, 3, -7).