Explore topic-wise InterviewSolutions in Current Affairs.

Can we find the value of tan 40 ? If nothing is given?

Find the condition that the ratio between the roots of the equation ax*2+bx+c=0 may be m:n

What is constant function? In relation and function chapter

To find:
$1^2+2^2+3^2...................+n^2$

Let $f\left(x\right)=(1-x{)}^{2}si{n}^{2}x+x^2$ for all $x\in R$. Consider the statements:
P: There exists some $x\in R$ such that $f\left(x\right)+2x=2(1+x^2).$
Q:There exists some $x\in R$ such that $2f\left(x\right)+1=2x(1+x).$
Then

On which day of the week did Dinesh give a presentation on Time Management?

If $|z_1|=|z_2|=|z_3|=1$ and $z_1+z_2+z_3=0$
then area of the triangle whose vertices are $z_1,z_2,z_3$ is

The image of the point $(3,5)$ in the line $x–y+1=0$, lies on :

Distance between the points (1, 3, 2) and (2, 1, 3) is

If (1 + xy) $\frac{dy}{dx}+y^3=0$ and y(1) = 1, then the equation of the curve is

(a) Explain the concept of purchasing power parity with the help of an example.

(b) What is the role of Chinese in politics?

In a school of 100 students, only 2 sports – cricket and football are entertained. 40 play only cricket and 40 play only football. If each of the100 students play at least one of the sports. Find the number of students who play both the sports.

The line $\frac{x-2}{3}=\frac{y+1}{2}=\frac{z-1}{-1}$ intersects the curve $xy=c^2,z=0$ if c is equal to

A ladder $12$ units long slides in a vertical plane with its ends in contact with a vertical wall and a horizontal floor along $x-$axis. Then the locus of a point on the ladder $4$ units from its foot, is

Differentiate the following questions w.r.t. x.

$\frac{cosx}{logx}$, x>0.

The area of the figure bounded by the curves $y=\text{ln}x$ and $y=(\text{ln}x{)}^2$ is

The points with position vectors $60\hat{i}+3\hat{j},40\hat{i}-8\hat{j},a\hat{i}-52\hat{j}$ are collinear, if

A variable plane at a distance of $1$ unit from the origin cuts the coordinates axes at $A,B$ and $C.$ If the centroid $D(x,y,z)$ of triangle $ABC,$ satisfies the relation $\frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}=k,$ then the value of $k$ is

If the angle between the tangents drawn to the circle $x^2+y^2+2gx+2fy+c=0$ $(c>0)$ from the origin is $\frac{\pi }{2},$ then

A line passes through (2, -1, 3) and is perpendicular to the lines $\overrightarrow{r}=(\hat{i}+\hat{j}+\hat{k})+\lambda (2\hat{i}+-2\hat{j}+\hat{k})$ and $\overrightarrow{r}=(2\hat{i}-\hat{j}-3\hat{k})+\mu (\hat{i}+2\hat{j}+2\hat{k})$. Obtain its equation in vector and Certesian form.

The value of $sin\left[2ta{n}^{-1}\left(\frac{1}{3}\right)\right]+cos\left[ta{n}^{-1}\right(2\sqrt{2}\left)\right]=$

Which of the given sequences has/have correct final product?

$\text{Write the cojugate of}\frac{2-i}{(1-2i{)}^2}.$

If OP makes 4 revolution in one second, the angular velocity in radians per second is

The distance of the point (1, -5, 9) from the plane x – y + z = 5 measured along the line x = y = z is :

$\begin{array}{cccccc}& Column1& & Column2& & Column3(\text{equation for}\\ & \left(\text{Equation of conic}\right)& & & & \text{locus in Column 2})\\ & & & \text{Locus of point of}& & \\ \left(I\right)& (x-1{)}^2+(y_2{)}^2=(\frac{12x-5y+3}{13}{)}^2& \left(i\right)& \text{intersection of}& \left(P\right)& x^2+y^2=16\\ & & & \text{perpendicular tangents}& & \\ & & & \text{Locus of foot of}& & \\ \left(II\right)& 7x^2-16y^2=112& \left(ii\right)& \text{perpendicular from focus}& \left(Q\right)& x^2+y^2=9\\ & & & \text{upon any tangent}& & \\ \left(III\right)& & \left(iii\right)& \text{Equation of chord bisected}& \left(R\right)& 4x+5y-4=0\\ & \frac{x^2}{25}+\frac{y^2}{16}=1& & at(\frac{1}{2},\frac{2}{5})& & \\ \left(IV\right)& x^2+y^2=8& \left(iv\right)& \text{Tangent to the curveat}& \left(S\right)& 24-10y+1=0\\ & & & (8,10)& & \end{array}$

Which of the following is the only correct combination?

A woman has m $\$20$ notes and n $\$50$ notes. The total amount of money in her possession cannot be less than $\$800$. Represent this as an inequality.

Given A and C are coefficient and augmented matrices respectively for a system of linear equations. Which of the following cases tells if the equations are consistent?

If $f\left(t\right)=\left[\begin{array}{ccc}cost& t& 1\\ 2sint& t& 2t\\ sint& t& t\end{array}\right]$, then $\underset{t\to 0}{lim}\frac{f\left(t\right)}{t^2}$ is equal to

(a) 0
(b) -1
(c) 2
(d) 3

What is the condition for a function y = f(x) to be a Strictly decreasing function.

If A = $\left[\begin{array}{ccc}2& 4& 8\\ 6& 9& 1\\ 8& 7& 5\end{array}\right]$ and B = $\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right]$ then the third element of the first row of A - B = -------

Let $x,y,z,t$ are in A.P. and ${1000}^{{\log }_{10}x}+{1000}^{{\log }_{10}y}+{1000}^{{\log }_{10}z}={1000}^{{\log }_{10}t}$. If $x,y,z,t$ are positive integers, then the minimum possible value of $x+y+z+t$ is

The product of two consecutive positive integers is divisible by 2: Is this statement true or false? Give reasons.

A point ‘z’ is equidistant from three distinct points $z_1,z_2,z_3$ in argand plane,if $z,z_{1}and{z}_2$ are collinear, then $arg\left(\frac{z_3-z_1}{z_3-z_2}\right)$ will be (z_1,z_2,z_3 in anti-clockwise sense)

Find the first four terms of the sequence defined by $a_1=3$ and $a_n=3a_{n-1}+2$, for all n > 1.

The eccentricity of the ellipse $\frac{x^2}{36}+\frac{y^2}{16}=1$ is

The sum of the divisors of $2^5{.3}^4{.5}^2$ is

2*root 2=?

Find a particular solution of the differential equation $(x-y)(dx+dy)=dx-dy$ given that y = -1, when x = 0.

Integrate the following functions.
$\int \frac{\sqrt{tanx}}{sinx.cosx}dx.$