Recent questions in JEEMAIN-2014

The probability of India winning a test match against england is $\large\frac{1}{2}$ Assuming independent from match to match the probability that in a 5 match series india's second win occurs of the third test is

asked Mar 4, 2015 by meena.p

1 answer

Let $a = \overrightarrow{i} -\overrightarrow{j} ; b = \overrightarrow{j} -\overrightarrow{k}; c = \overrightarrow{k} -\overrightarrow{i}$ if $ \overrightarrow{d}$ is a unit vector such that $ \overrightarrow{a} -\overrightarrow{d} =0= [b,c,d]$ then d equals

asked Mar 4, 2015 by meena.p

1 answer

On the interval $[0,1]$ the function $x^{25} (1-x)^{75}$ takes the maximum values at the point

asked Mar 4, 2015 by meena.p

1 answer

Three of the six vertices of a regular hexagon are chosen at random . The probability that the triangle with these three vertices equilateral equals

asked Mar 4, 2015 by meena.p

1 answer

Let $f(x)$ be defined for all $x >0$ and be continued . Let $f(x)$ satisfy $f( \large\frac{x}{y} )=f(x)-f(y)$ for all x,y and f(e)=1$ Then

asked Mar 4, 2015 by meena.p

0 answers

Let $f(x)$ be defined for all $x >0$ and be continued . Let $f(x)$ satisfy $f( \large\frac{x}{y} )=f(x)-f(y)$ for all x,y and f(e)=1$ Then

asked Mar 4, 2015 by meena.p

1 answer

The radius of the circle passing through the foci of the ellipse $\large\frac{x^2}{16} +\frac{y^2}{9}$$=1$ and having its center at $(0,3)$ is

asked Mar 4, 2015 by meena.p

1 answer

Let $ n >1$ be a positive integer. Then the largest integer m such that $(n^m+1)$ divides $(1+n+n^2+...n^{127})$ is

asked Mar 4, 2015 by meena.p

1 answer

The radius of the circle passing through the foli of the ellipse $\large\frac{x^2}{16} +\frac{y^2}{9}$$=1$ and having its center at $(0,3)$ is

asked Mar 3, 2015 by meena.p

1 answer

Let $ n >1$ be a positive integer. Then the largest m such that $(n^m+1)$ divides $(1+n+n^2+.....n^{127})$ is

asked Mar 3, 2015 by meena.p

1 answer

In triangle ABC $\angle B = \large\frac{\pi}{3}$ and $\angle C = \large\frac{\pi}{4}$ Let d divide BC instantly in the ratio $1:3$ . Then $\large\frac{\sin \angle BAD}{\sin \angle CAD}$ equals

asked Mar 3, 2015 by meena.p

1 answer

The function $f(x) =[x] \cos \bigg[ \large\frac{2x-1}{2}\bigg]$$\pi$ Where $[.]$ denotes the greatest integer function, is discontinuous at

asked Mar 3, 2015 by meena.p

1 answer

If $ (\omega \neq 1)$ is a cube root of unity $(1+\omega)^7=\alpha+\beta \omega$ then $\alpha$ and $\beta$ are

asked Mar 3, 2015 by meena.p

1 answer

If $(w \neq 1)$ is a cube root of 1 then $\begin{bmatrix} 1 & 1+i+\omega^2 & \omega^2 \\ 1-i & -1 & \omega^2-1 \\ -1 & -i+\omega-1 & -1 \end{bmatrix}$ is a

asked Mar 3, 2015 by meena.p

1 answer

If the expansion of $(x+\large\frac{\alpha}{x})^n$ and $(x+\large\frac{\beta}{x^2})$ in power of x have one term independently of x, the n is divisible by

asked Mar 3, 2015 by meena.p

1 answer

The area of the region bounded by $y= |x-1| $ and $y=1$ is

asked Mar 3, 2015 by meena.p

1 answer

Let $E$ be the ellipse $ \large\frac{x^2}{9} +\frac{y^2}{4}$$=1$ and C be the circle $x^2+y^2=9$. Let P and Q be the points $(1,2)$ and $(2,1)$ respectively Then

asked Mar 3, 2015 by meena.p

1 answer

Let $ \alpha, \beta, \gamma$ be distinct real numbers points with position vector $\alpha\overrightarrow{i}+\beta \overrightarrow {i} + \gamma \overrightarrow {k},\beta\overrightarrow{i}+\beta \overrightarrow {i} + \gamma \overrightarrow {k},r\overrightarrow{j}+\alpha \overrightarrow {j} + \beta\overrightarrow {k}$,

asked Mar 3, 2015 by meena.p

1 answer

The circle $x^2+y^2-10x+16 =0$ and $ x^2+y^2=r^2$ intersect each other in two distinct points if

asked Mar 3, 2015 by meena.p

1 answer

Which one of the following curves cuts the parabola $y^2=4ax$ at right angles ?

asked Mar 3, 2015 by meena.p

1 answer

The equations to a pair of opposite sides of parallelogram are $ x^2-5x+6=0$ and $y^2-6y+5=0$ . The equations to its diagonals are

asked Mar 3, 2015 by meena.p

1 answer

For a real number $x,[x]$ denotes the integral part of x the value of $ \bigg[ \large\frac{1}{2}\bigg]+\bigg[\large\frac{1}{2}+\frac{2}{100}\bigg] +.....+ \bigg[ \large\frac{1}{2}+\frac{99}{100}\bigg]$ is

asked Mar 2, 2015 by meena.p

1 answer

The locus of a variable point whose distance from $(-2,0) $ is $\large\frac{2}{3}$ times its distance from the line $x = \large\frac{-9}{2}$ is

asked Mar 2, 2015 by meena.p

1 answer

Let $2 \sin ^2 x + 3 \sin x -2 >0$ and $x^2-x-2 < 0$ (x is measured in radians). Then x lies in the interval

asked Mar 2, 2015 by meena.p

0 answers

Let $2 \sin ^2 x + 3 \sin x -2 >0$ and $x^2-x-2 < 0$ (x is measured in radians). Then x lies in the interval

asked Mar 2, 2015 by meena.p

1 answer

If we consider only the principal values of the inverse trigonometric function Then the value of $ \tan \bigg[\cos ^{-1} \large\frac{1}{5 \sqrt 2} -$$ \sin ^{-1} \large\frac{4}{\sqrt{17}}\bigg]$ is

asked Mar 2, 2015 by meena.p

1 answer

An unbiased die is tossed until a number greater than 4 appears. The probability that an even number of tossed needed is

asked Mar 2, 2015 by meena.p

1 answer

If the length of the sides of triangle are $3,5,7$ then the largest angle of the triangle is

asked Mar 2, 2015 by meena.p

1 answer

If $y =(\sin x)^{\tan x}$ then $\large\frac{dy}{dx}$ is equal to

asked Mar 2, 2015 by meena.p

1 answer

Let n be a positive integer such that $ \sin \large\frac{\pi}{2n} $$+\cos \large\frac{\pi}{2n} =\frac{\sqrt n }{2}$ Then,

asked Mar 2, 2015 by meena.p

1 answer

If $y =4x-5$ is tangent to the curve $y^2=px^3+q$at $(2,3)$ then

asked Mar 2, 2015 by meena.p

1 answer

Let A,B,C be three mutually independent event. Consider the two statements $S_1$, and $S_2;S_1:A$ and $ B \cap C$ are independent .$S_1:A$ and $ B \cap C$ are independent . Then

asked Feb 28, 2015 by meena.p

1 answer

Let $0 < x > \large\frac{\pi}{4}$.Then $(\sec 2x- \tan 2x)$ equal

asked Feb 28, 2015 by meena.p

1 answer

Let p and q be the position vectors of P and Q respectively, with respect to O and $|P|=P,|q|=q$ The points R and S divide POQ internally and externally in the ratio $2:3$ respectively. If OR and OS are perpendicular then

asked Feb 28, 2015 by meena.p

1 answer

The equation $2x^2+3y^2 -8x+18y +35=k$ represents

asked Feb 27, 2015 by meena.p

1 answer

The equation $2x^2+3y^2-8x+18y+35=k$ represents

asked Feb 27, 2015 by meena.p

1 answer

The number of points of intersection of the two curve. $y=2 \sin x$ and $y= 5x^2+2x+3$ is

asked Feb 27, 2015 by meena.p

1 answer

Let $f(x) = \left\{ \begin{array} {1 1} 0, & \quad x <0 \\ x^2,& \quad x \geq 0 \end{array} \right. $ Then for all x

asked Feb 27, 2015 by meena.p

1 answer

Let $p,q \in \{1,2,3,4\}$.The number of equation of the form $px^2+qx+1=0$ having real roots is

asked Feb 27, 2015 by meena.p

1 answer

The function f defined by $f(x) =(x+2)e^{-x}$ is

asked Feb 27, 2015 by meena.p

1 answer

If $ln (a+c), ln (a-c),ln(a-2b+c)$ are in A.P , then

asked Feb 27, 2015 by meena.p

1 answer

If $w$ is an imaginary cube root of unity, then the value of $\sin \{(w^{10}+w^{23})\pi -\large\frac{\pi}{4} \}4 is

asked Feb 27, 2015 by meena.p

1 answer