Explore topic-wise InterviewSolutions in Current Affairs.

If x and y
are connected parametrically by the equation, without eliminating the
parameter, find.

The differential equation of family of parobalas with foci at the origin and axis along the X- axis, is

Find the vector
equation of the line passing through (1, 2, 3) and parallel to the
planes
and
.

The number of ways in which the letters of the word $MADHURI$ can be arranged so that the vowels always occupy the beginning, middle and end places is

If a set $A$ is not a subset of another set $B,$ then

If $y\left(x\right)$ satisfies the differential equation $y^{\prime }-y\text{tan}x=2x\text{sec}x$ and $y\left(0\right)=0$, then

Consider the hyperbola xy = 4 and a line 2x + y = 4. O is the centre of the hyperbola. Tangent at any point P on the hyperbola intersects the coordinate axes at A and B.

Let the given line intersect x-axis at R. If a line through R intersects the hyperbola at S and T, then the minimum value of (RS) (RT) is ___

A and B having equal skill, are playing a game of best of 5 points. After A has won two points and B has won one point, the probability that A will win the game is:

Let A = {1,2,3,4} and B = { x,y,z}. Then R = {(1,x) , ( 2,z), (1,y), (3,x)} is

Find the equation to the straight line which passes through the point (-4, 3) and is such that the portion of it between the axes is divided by the point in the ratio 5 : 3.

The value of $\underset{1/3}{\overset{3}{\int }}\frac{1}{x}\tan (x-\frac{1}{x})dx$ is

A cube of side 5 has one vertex at the point (1, 0, -1), and the three edges from this vertex are, respectively, parallel to the negative x and y axes and positive z-axis. Find the coordinates of the other vertices of the cube.

The equation of the plane which bisects the angle between the planes 3x - 6y + 2z + 5 = 0 and 4x - 12y + 3z = 0 which contains the origin is

The maximum value of $\frac{logx}{x},0<x<\infty is:$

Pair the 3D shapes with their respective side views.

Consider a circle $S:{(x+2)}^2+{(y-8)}^2=16$ and a parabola $P:y^2=8x.TA$ and $TB$ are two tangents drawn from a point $T$ on the parabola $P=0$ to the circle $S=0$ such that $TA+TB$ is minimum. $A$ and $B$ are the points of contact.



$\begin{array}{cccc}& \text{List I}& & \text{List II}\\ \text{(A)}& \text{If}T\equiv (a,b),\text{then}(a+b)\text{equals}& \text{(P)}& 6\\ \text{(B)}& \text{Sum of ordinates of}A\text{and}B\text{is}& \text{(Q)}& 8\\ \text{(C)}& \text{Minimum value of}(TA+TB)\text{is}& \text{(R)}& 10\\ \text{(D)}& \text{Area of}\Delta TAB\text{is}& \text{(S)}& 12\end{array}$



Which of the following is a CORRECT combination ?

Out of the given equations, is not a quadratic equation.

A variable chord $PQ$ of the parabola $y^2=4ax$ is drawn parallel to line $y=x$. Then the locus of point of intersection of normals at $P$ and $Q$ is:

If $A$ and $B$ are two independent events, the probabilty that both $A$ and $B$ occur is $\frac{1}{8}$ and the probability that neither of them occurs is $\frac{3}{8}$. The probability of the occurrence of $A$ is:

If H is the harmonic mean between p and q, then the value of $\frac{H}{p}+\frac{H}{q}$ is

If $g\left(x\right)=\underset{0}{\overset{x}{\int }}{\cos }^{4}tdt,$ then $g(x+\pi )$ equals to

If $A=[a_{ij}{]}_{4\times 4}$ is a scalar matrix such that $a_{ii}=2$, then the value of $\left\{\frac{det\left(adj\right(adjA\left)\right)}{7}\right\}$ is

(where {$\cdot$} respresents fractional part function)

A worker uses a forklift to move boxes that weigh either 40 pounds or 65 pounds each. Let x be the number of 40-pound boxes and y be the number of 65-pound boxes. The forklift can carry up to either 45 boxes or a weight of 2,400 pounds. Which of the following systems of inequalities represents this relationship?

Statement 1: The quadratic equation 10x²-28x+17=0 has atleast one root, belongs to[1,2].

Statement 2: f(x)=e^{​​​​​​10x}(x-1)(x-2) satisfy all the condition of Rolle's theorem in [1,2].

Which statement is true and which is the correct explanation of the second?