Explore topic-wise InterviewSolutions in Current Affairs.

$a,b,cϵR$ -{0} are in H.P. Then $\frac{b+a}{b-a}+\frac{b+c}{b-c}$ is equal to

The unit vector bisecting $OY$ and $OZ$ is

In a certain code, $CALANDER$ is written as $CLANAEDR.$ How is $CIRCULAR$ written in that code?

For what value of
is
the function defined by

continuous
at x = 0?
What about continuity at x
= 1?

Which of the following points lies on the tangent to the curve $x^4{e}^y+2\sqrt{y+1}=3$ at the point $(1,0)$?

Let
f, g:
R →
R be
defined, respectively by f(x)
= x + 1,
g(x)
= 2x –
3. Find f
+ g, f
– g
and.

Total number of six-digit numbers in which only and all the five digits $1,3,5,7$ and $9$ appear, is

Which of the following lines subtends chords of equal lengths on intersecting with the circle, $x^2+y^2-2x+4y=0$?

If $f\left(x\right)$ is a continuous function for all real values of $x$ and satisfies $x^2+xf\left(x\right)-2x+2\sqrt{3}-3-\sqrt{3}f\left(x\right)=0,\forall x\in R$, then the value of $f\left(\sqrt{3}\right)$ is

The coordinate of the point on $y^2$ = 8x which is closest from $x^2+(y+6{)}^2$= 1 is

If $(7,5)$ are the new coordinates of $P$ when origin is shifted to $(1,1)$, then the original coordinates of $P$ are

1. 0

10% bulbs manufactured by a company are defective. The probability that out of a sample of 5 blubs, none is defective, is

Let $A=\left[\begin{array}{cc}\cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha \end{array}\right],(\alpha \in R)$ such that $A^{32}=\left[\begin{array}{cc}0& -1\\ 1& 0\end{array}\right]$. Then a value of $\alpha$ is:

A circle passes through $(-2,4)$ and touches the $y-$axis at $(0,2).$ Then which of the following equations can represent a diameter of the circle?

The sum to $n$ terms of the series $\frac{1}{1+1^2+1^4}+\frac{2}{1+2^2+2^4}+\frac{3}{1+3^2+3^4}+\dots \dots$ is $\frac{1}{2}-\frac{1}{a(n^b+n^c+d{n}^4+1)}$, then $a+b+c+d=$

If a line is tangent at one point and normal at another point on the curve $x=4t^2+3,y=8t^3-1$, then slope(s) of such a line is/are

Find the domain and range of the follwoing graph.

Find the
derivative of the following functions:

(i) sin x
cos x (ii) sec x (iii) 5 sec x + 4 cos x

(iv) cosec
x (v) 3cot x + 5cosec x

(vi) 5sin
x – 6cos x + 7 (vii) 2tan x – 7sec x

If $(h,k)$ is the centre of a circle touching $x-$axis at a distance $3$ units from the origin and makes an intercept of $8$ units on the $y-$axis, then the equation of circle when $(h+k)$ is maximum, is

Write the coordinates of the following points: [4 MARKS]

1. M 2. E 3. G 4. C

Find the minimum value of 5cosA + 12sinA + 12

If n ∈ N, then ${11}^{n+2}$ + ${12}^{2n+1}$ is divisible by

If $x={\log }_{24}12,$ $y={\log }_{36}24$ and $z={\log }_{48}36,$ then $(1+xyz)$ equals

Examine the applicable of MVT for all three functions.

$f\left(x\right)=1-x^{2}forxϵ[1,2]$

The coefficient of $x^n$ in the polynomial $(x+{}^n{C}_0)(x+3\cdot {}^n{C}_1)\cdots (x+(2n+1)\cdot {}^n{C}_n)$ is

If $3x^a+2x^4+3x^3+x^2+10$ is a polynomial, then which of the following can be the value of $a$?

John invited a group of friends for dinner. He hires $5$ cabs and $5$ persons can sit in each cab. Find total number of persons he invited.