Explore topic-wise InterviewSolutions in Current Affairs.

Is the function f defined by $f\left(x\right)=\{\begin{array}{c}x,ifx\le 1\\ 5,ifx>1\end{array}$ continuous at x = 0? At x=1? At x =2?

If a circle passes through the point (1, 2) and cuts the circle $x^2+y^2=4$ orthogonally, then the equation of the locus of its centre is

The solution set of the inequation 2x + y > 5 is

The vector that must be added to the vector i-3j-2k and 3i-6j+7k so that the resultant vector is a unit vector along y axis ! How to solve such problems?

Who is studying Journalism?

$(-64{)}^{\frac{1}{4}}$

If $x_1$ and $x_2$ are the roots of the equation $e^2{x}^{\ln x}=x^3$ with $x_1>x_2$, then

Which among the following statements is true about the sentence?

The freshest produce at the market was his; those were grown with a lot of care.

In a triangle $ABC$, if $\tan A+\tan +B+\tan C=6$ and $\tan A\tan B=2$, then the triangle is

Find the value of 4 $ta{n}^{-1}\frac{1}{5}-ta{n}^{-1}\frac{1}{239}.$

Express the following matrix as the sum of a symmetric and a skew-symmetric matrices;

$\left[\begin{array}{cc}1& 5\\ -1& 2\end{array}\right]$

Read the information carefully to answer the given question:

i. ‘P + Q’ means ‘P is the father of Q’.
ii. ‘P - Q’ means ‘P is the mother of Q’.
iii. 'P $\times$ Q' means ‘P is the brother of Q’.
iv. 'P $÷$ Q' means ‘P is the sister of Q’.
Which of the following means 'H is paternal grandfather of T'?

Let f(X)={1-sinπx÷1+cos2πx. X<1÷2. { P . X=1÷2. { √2x-1÷√4+√2x-1-2. X>1÷2. Determine the value of p , so that the function is continuous at X=1÷2 . { Is over the whole f(X) and √ is on complete √4+√2x-1

Suppose z>y>x>0 and $S=\frac{x^2+y^2+z^2}{x+y+z},then$

Find the number of ways in which 5 identical objects can be distributed among 3 persons if anyone can get any number of objects.

The value of $\underset{x\to 1}{lim}\frac{x^{25}-1}{x^5-1}$ is

According to Moseley, a straight line graph is obtained on plotting:

If $sin\left[2co{s}^{-1}cot\right(2ta{n}^{-1}x\left)\right]=0$, then the value of x=

If the area bounded by the curves $y=\left[k\right]x^2,y=\frac{\left[k\right]}{4}{x}^2$ and $2\le |x|\le 3$ is $19$, then $k$ lies in
(where [.] represent greatest integer function)

Let $S=\frac{1}{6}+\frac{1}{24}+\frac{1}{60}+\frac{1}{120}+\cdots \text{upto}\infty$. Then the value of $2S$ is

If $f\left(x\right)=si{n}^{-1}x+2ta{n}^{-1}x+x^2+4x+1$, then minimum value of f(x) is

For $a<0$, $\text{arg}\left(ia\right)$ is

$IfA=\left[\begin{array}{cc}co{s}^2\alpha & cos\alpha sin\alpha \\ cos\alpha sin\alpha & si{n}^2\alpha \end{array}\right]andB=\left[\begin{array}{cc}co{s}^2\beta & cos\beta sin\beta \\ cos\beta sin\beta & si{n}^2\beta \end{array}\right]$ are two matrices such that AB is the null matrix, then

$(r+1{)}^{th}$ term in the expansion of $(1-x{)}^{-4}$ will be

The solution of the differential equation $x\frac{dy}{dx}=y(logy-logx+1)$ is

If ${}^{\prime }{X}^{\prime }$ has a binomoial distribution with parameters $n=6,p$ and $P(X=2)=12,P(X=3)=5$ then $p=$

If 3 - 5i is one root of the equation - $x^2$ + ax + b = 0, find a + b, where a,b∈ R

The point of intersection of the line joining the points $(2,4,5)$ and $(-4,3,-2)$ and the xy plane is

Prove that:
$\frac{tanA+tanB}{tanA-tanB}=\frac{sin(A+B)}{sin(A-B)}$

If $A$ is a $4\times 4$ matrix and $|A|=5$, then find the value of $|4A|$.

Three schools X, Y, and Z organized a fete (mela) for collecting funds for flood victims in which they sold hand-held fans, mats and toys made from recycled material, the sale price of each being Rs. 25, Rs. 100 and Rs. 50 respectively. The following table shows the number of articles of each type sold:

$\begin{array}{cccc}School/Article& SchoolX& SchoolY& SchoolY\\ Hand-heldfans& 30& 40& 35\\ Mats& 12& 15& 20\\ Toys& 70& 55& 75\end{array}$

Using matrices, find the funds collected by each school by selling the above articles and the total funds collected. Also write any one value generated by the above situation.

If sectheta plus tantheta equals 4 what would be Costheta

If $e_1$ and $e_2$ are respectively the eccentricities of the ellipse $\frac{x^2}{18}+\frac{y^2}{4}=1$

and the hyperbola $\frac{x^2}{9}+\frac{y^2}{4}=1$,then

write the value of $2e_1^2+e_2^2.$

Given that a₁a₂,.,a₂₀₀₄ are distinct positive real numbers then

The sum $S_n={\sum }_{k=0}^n(-1{)}^K{.}^{3n}{C}_k,$ is

A bag contains 3 red, 7 white and 4 black balls. If three balls are drawn from

the bag, then the probability that all of them are of the same colour is

${lim}_{x\to 1}\frac{x^3+3x^2-6x+2}{x^3+3x^2-3x-1}$

If f(x) =$\frac{(1+x{)}^{\frac{1}{x}}-e}{x}$ then

Two circles of radii 4 cms and 1 cm touch each other externally and $\theta$ is the angle contained by their direct common tangents. Then sin $\theta$ is =

If x=sinx y=cos2x then pt dy by dx = 4sinx

Describe the sample space for the indicated experiment.
A coin is tossed and a die is thown.

Let A ={1,2,3}.Then, number of equivalence relations containing (1,2) is
(a)1
(b)2
(c)3
(d)4

A fair dice is thrown 3 times.The probability that the product of 3 outcomes is a prime number is ?

A rectangular hyperbola whose centre is C is cut by any circle of radius in four points P,Q,R and S. Then $C{P}^2+C{Q}^2+C{R}^2+C{S}^2=$