Explore topic-wise InterviewSolutions in Current Affairs.

The equation of a circle whose $x$-coordinate of the centre is $5$ and radius is $4$ units and also touches the $x$-axis, is

If the two circles $x^2+y^2+2gx+2fy=0$ and $x^2+y^2+2g_{1}x+2f_{1}y=0$ touch each other then

On which of the following intervals is the function f given by $f\left(x\right)=x^{100}+sinx-1$ strictly decreasing.

a) (0,1)

b) $(\frac{\pi }{2},\pi )$

c) $(0,\frac{\pi }{2})$

d) None of these

Find the particular solution of the differential equation $e^{x}tanydx+(2-e^x)se{c}^{2}ydy=0$, given that $y=\frac{\pi }{4}$ when x = 0
OR
Find the particular solution of the differential equation $\frac{dy}{dx}+2ytanx=sinx$, given that y = 0 when $x=\frac{\pi }{3}$.

Check whether the function f given by $f\left(x\right)=x^{100}+sinx-1$ strictly decreasing in the given interval.

$(\frac{\pi }{2},\pi )$

The orthogonal trajectories of the family of curves $a^{n-1}y=x^n$ are given by

If r1 and r2 are distances of points on the ellipse 5x²+5y²+6xy-8=0 which are at maximum and minimum distance from the origin,then r1+r2 is equal to?

How is U related to L?

Statement I. L has two sons; one of the sons is B.

Statement II. The mother of U has only two sons --- B and C.

How to find cube root of improper cube decimal numbers? Like, how to find the cube root of 2.6 and of 3.612?

Equation of a straight line passing through the point $(4,5)$ and equally inclined to the lines $3x=4y+7$ and $5y=12x+6$ is

On friday night $20\%$ of all the techies in India are under the influence of alcohol.The probability that the person will have an accident under the influence of alcohol is 0.001.The probability that a sober person will meet an accident is 0.0001.If the car on friday night smashed into the tree,the probability that the driver was under the influence of alcohol is?

Distance between the foci of the Ellipse $25x^2+16y^2+100x-64y-236$ = 0 is

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane 2x – 3y + 4z – 6 = 0.

If A = {5, 6, 7, 8} B = {7, 8, 9, 11}

A ∪ B =

The point of intersection of the lines represented by the equation $2x^2+3y^2+7xy+8x+14y+8=0$ is

The sum of distances of the point P lying inside the triangle formed by lines y = 0; 4x – 3y = 0 and 3x + 4y – 9 = 0 is 3. Then the locus of P is

If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a dictionary; then the position of the word SMALL is:

Write the number of quadratic equations, with real roots, which do not change by squaring their roots.

If $\alpha ,\beta$ are the solution of a $cos2\theta +b$ $sin2\theta =c$, then $tan\alpha tan\beta$

Prove that:
$\frac{tan{69}^{\circ }+tan{66}^{\circ }}{1-tan{69}^{\circ }tan{66}^{\circ }}=-1$

In a $\Delta$ ABC, let $\angle$ C = $\pi /2$ .If r is the inradius and R is the circumradius of the triangle, then 2 (r +R) is equal to

Let X represent the difference between the number of heads and the number of tails obtained when a coin is tosses 6 times. What are possible values of X?

If the function $f:R\to R$ be given by $f\left(x\right)=x^2+2$ and $g:R\to R$ be given by $g\left(x\right)=\frac{x}{x-1},x\ne 1$,
find fog and gof and hence fing fog(2) and gof(-3).

Let the eccentricity of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ be the reciprocal to that of the ellipse $x^2+4y^2=4$. If the hyperbola passes through the focus of the ellipse, then the focus of the hyperbola is at :

(sin A + cos A) ( 1- sinAcosA) = sin^{​​​​3} A+ cos³ A

Prepare Double column Cash Book of Vinod from the following transactions:

2010 Amt. (Rs.)

June. 1 Cash in hand Rs. 800, Bank overdraft .......5,700

June. 7 Received a cheque from Bharti ..................3,250

June. 9 Deposited the above cheque into bank.

June. 15 Cheque Received from Panna Lal ........... 1,200

June. 20 Bharti's Cheque returned dishonoured

June. 28 Panna Lal's cheque was endorsed to Kamal

June. 30 Income Tax paid by cheque................... 150

5x-6/x+6<1 solve the inequality

The complex numbers 1,-1,iroot3 form a triangle which is

a. Right angled

b.isosceles

c.equilateral

d. Isosceles right angled

If a directed line L passing through the origin makes angles α, β and y with x, y and z-axes, respectively, called direction angles, then what are cosα, cosβ, and cosy called?

A circle with radius $2$ units passing through origin, cuts the $x-$ axis and $y-$ axis at $A$ and $B$ respectively. The locus of centroid of the triangle $OAB$ is

Express the following in the form + where a, b Є R.

If sin A = sin B and cos A = cos B, A > B, then

If |x|<1 and |y|<1, find the sum of infinity of the following series: (x+y) + (x^{​​​​​​2}+xy+y^{​​​​​​2}) + (x^{​​​​​​3}+x^2y+xy^2+y^3) + ....

Find the integrals of the functions.
$\int \frac{cos2x-cos2\alpha }{cosx-cos\alpha }dx.$

Compare India and China on the basis of:

(a) Below poverty line people

(b) Growth rate of population

(c) Growth rate of GDP.

If 2ycosA=xsinA and 2xsecA-ycosecA=3, then find the value of x²+4y².

There exists a triangle ABC satisfying the conditions

The length of the perpendicular from the origin to the plane passing through the point $\overline{a}$ and containing the line $\overline{r}=\overline{b}+\lambda \overline{c}$ is :

Integrate the function.
$\int \sqrt{x^2+4x+6}dx.$