Recent questions in JEEMAIN-2014

If $f: R \to R$ be defined by $f(x) = \left\{ \begin{array} {1 1} 1 & \quad\text{ if x is rational } \\ 0 ,& \quad \text{if x is irrational }\\ \end{array} \right. $ then f is continous at

asked Mar 12, 2015 by meena.p

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The number $49^n +16n -1$ is divisible by

asked Mar 11, 2015 by meena.p

1 answer

The sum of the first n natural number is one fifth of the sum of their squares, then n is

asked Mar 11, 2015 by meena.p

1 answer

The next form of the geometric progression $x,x^2+2,x^3-1-$ is

asked Mar 11, 2015 by meena.p

1 answer

In a triangle $ABC$ if $a=4,b=8$ and $\angle B=60^{\circ}$ then $\angle B=?$

asked Mar 11, 2015 by meena.p

1 answer

The tangent to the hyperbola $x^2-y^2=3$ are parallel to the straight line $2x+y+8=0$ at the following points

asked Mar 11, 2015 by meena.p

1 answer

The magnitude of the resultant of four forces $\overrightarrow{P}=\overrightarrow{i} - \overrightarrow{j} - \overrightarrow{k}; \overrightarrow{Q}=\overrightarrow{i}-2\overrightarrow{j}+2\overrightarrow{k}; \overrightarrow{R}= \overrightarrow{i}- \overrightarrow{j}+3\overrightarrow{k}; \overrightarrow{S}= \overrightarrow{i}+b\overrightarrow{j}$ acting on a particle is $6$ if $6 $ is equal to

asked Mar 11, 2015 by meena.p

1 answer

The domain the function $\sqrt {\log (x^2-6x+6)}$ is

asked Mar 11, 2015 by meena.p

1 answer

If $ \sin ^{-1} x +\cos ^{-1} \bigg(\large\frac{1}{2}=\frac{\pi}{2} $ then x is

asked Mar 11, 2015 by meena.p

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The number of ways in ehich 5 male and 2 female members of a commitee can be seated around a round table so that the two females are not seated together is

asked Mar 11, 2015 by meena.p

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If the resultant of two forces of magnitudes of P and Q acting at a pointat an angle of $60^{\circ}$is $\sqrt 7 Q$, Them $\large\frac{P}{Q}$

asked Mar 11, 2015 by meena.p

1 answer

The function $f:R \to R$ defined by $f(x)= (x-1)(x-2)(x-3)$ is

asked Mar 11, 2015 by meena.p

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$\lim \limits_{n \to \infty} \sum \limits_{k=1}^m \large\frac{k}{n^2+k^2}$ is equal to

asked Mar 11, 2015 by meena.p

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If P is nearly equal to q and $n >14$ such that $ \large\frac{(n+1)p+(n-1)q}{(n-1)p +(n-1)q} =\frac{p}{q}^k$ then the value of k is

asked Mar 11, 2015 by meena.p

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The equation of the plane containing the line $ \large\frac{x+1}{-3} =\frac{y-3}{2} =\frac{z+2}{1}$ and the point $(0,7,-7)$ is

asked Mar 11, 2015 by meena.p

1 answer

If $[x]$ denotes the greatest integer less than or equal to x, then the value of $\int \limits _1^5 [|x-3|]dx$ is

asked Mar 11, 2015 by meena.p

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The differential equation $\bigg( \large\frac{d^2y}{dx^2}\bigg)^2 - \bigg( \frac{dy}{dx}\bigg)$$=y^3$ has degree

asked Mar 11, 2015 by meena.p

1 answer

The minimum value of $\large\frac{\log x}{x}$ in the interval $[2, \infty]$

asked Mar 11, 2015 by meena.p

1 answer

If $\log _7 2 =m$ then $\log _{49}28$ is equal to

asked Mar 11, 2015 by meena.p

1 answer

The probability that a leap year selected at random contains either 53 sundays or 53 mondays

asked Mar 10, 2015 by meena.p

1 answer

The equation $2x^2+2y^2+4x+8y+15=0$ represents

asked Mar 10, 2015 by meena.p

1 answer

If the straight line $y=mx$ is outside the circle $x^2+y^2-20y +90=0$ then

asked Mar 10, 2015 by meena.p

1 answer

The lengths of the sides of a triangle $\alpha -\beta , \alpha+\beta $ and $\sqrt {3 \alpha^2+\beta^2},(\alpha > \beta > 0)$. Its largest angle is

asked Mar 10, 2015 by meena.p

1 answer

Sum of the infinite series $1+ \large\frac{3}{2 !}+\frac{6}{3 !}+\frac{10}{4 !}+....$

asked Mar 10, 2015 by meena.p

1 answer

If $a,b,c$ are in arithmetic progression , then $\large\frac{1}{\sqrt a +\sqrt b}, \frac{1}{\sqrt a +\sqrt c},\frac{1}{\sqrt b +\sqrt c}$ are in

asked Mar 10, 2015 by meena.p

1 answer

A point starts moving from $(1,2) $ and its projections on x and y axis are moving with velocities of $3 m/s$ and $2 m/s$ respectively. Its locus is

asked Mar 10, 2015 by meena.p

1 answer

The area of the region bounded by the curves $y=x^2$ and $y =|x|$ is

asked Mar 10, 2015 by meena.p

1 answer

ABC is an isosceles triangle right angled at A. Forces of magnitude $2 \sqrt 2,5 $ and $6$ act along $\overrightarrow {BC},\overrightarrow{CA}$ and $\overrightarrow {AB}$ respectively. The magnitude of their resultant force is

asked Mar 10, 2015 by meena.p

1 answer

If vector $\overrightarrow{A} =2 \overrightarrow{i}+3 \overrightarrow{j}+4 \overrightarrow{k};\overrightarrow{B}=\overrightarrow{i}+\overrightarrow{j}+5 \overrightarrow{k}$ and $\overrightarrow{c}$ form a left handed system , then $ \overrightarrow{C}$ is

asked Mar 10, 2015 by meena.p

1 answer

If $ \overrightarrow {a},\overrightarrow {b},\overrightarrow {c} $ are non - coplanar vectors and $ \overrightarrow {d} = \lambda \overrightarrow {a}+\mu \overrightarrow {b}+ v \overrightarrow {c}$ then $\lambda$ is

asked Mar 10, 2015 by meena.p

1 answer

Locus of the point z satisfying the equation $|iz-1|+|z-i|=2$ is

asked Mar 10, 2015 by meena.p

1 answer

Let $0 < P(A) <1$$,0< P(B) <1$ and $P(A \cup B) =P(A) +P(B) - P(A).P(B)$ Then

asked Mar 9, 2015 by meena.p

1 answer

The function $f(x) = max \{(1-x),(1+x),2\} x \in (- \infty , \infty)$ , is

asked Mar 9, 2015 by meena.p

1 answer

If $a,b,c$ are non- Coplanar unit vector such that $a \times (b \times c) = \large\frac{b+c}{\sqrt 2}$, then the angle between a and b is

asked Mar 9, 2015 by meena.p

1 answer

Let z and w be two complex numbers such that $|z| \leq 1, |w| \leq 1$ and $|z+iw|$ = |z-i w}=2$ Then z equals

asked Mar 9, 2015 by meena.p

1 answer

The function $f(x) = \large\frac{\ln(\pi+x)}{\ln (e+x)}$ is

asked Mar 9, 2015 by meena.p

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If $f(x) = A \sin \bigg( \large\frac{\pi x}{2}\bigg)$$+B;f'\bigg(\large\frac{1}{2}\bigg)=$$\sqrt 2$ and $\int \limits_0^1 f(x)dx= \large\frac{2A}{\pi}$

asked Mar 6, 2015 by meena.p

1 answer

If $A,B$ and $C$ are three non- coplanar vectors then $(A+B+C).((A+B) \times (A+B) \times (A+C))$ equals

asked Mar 6, 2015 by meena.p

1 answer

If $p,q,r$ are positive and are in A.P the roots of quadratic equations $px^2+qx+r =0$ are all real for

asked Mar 6, 2015 by meena.p

1 answer

The value of $\int \limits_{\pi} ^{2 \pi} [ 2 \sin x]dx$ where [.] represents the greatest integer function , is

asked Mar 6, 2015 by meena.p

1 answer

Consider a circle with center lying on the focus of the parabola $ y^2=2px$ Such that it touches the directix of the parabola. Then a point of intersection of the circle and the parabola is

asked Mar 5, 2015 by meena.p

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Let $f(x) =(x+1)^2-1 , ( x \leq -1)$. Then the set $S= \{x : f(x) =f^{-1}(x)\}$ is

asked Mar 5, 2015 by meena.p

1 answer

The next term of the geometric progression $x,x^2+2,x^3-10$ is

asked Mar 5, 2015 by meena.p

1 answer

Let $u,v$ and $w$ be vectors such that $u+v+w$. If $|u|=3,|v|=4$ and $||w|=5$. Then the value of $ u.v+v.w+w.u $ is

asked Mar 5, 2015 by meena.p

1 answer

The slope of the tangent to a curve $y= f(x) $ at $(x,f(x))$ is $2x+1$. If curve passes through the point $(1,2)$ then the area of the region bounded by the curve the x-axis and the line $x=1$ is

asked Mar 5, 2015 by meena.p

1 answer

The minimum value of the expression $\sin \alpha +\sin \beta + \sin \gamma$ where $\alpha , \beta,\gamma$ real number satisfying $\alpha+\beta+\gamma=\pi$

asked Mar 5, 2015 by meena.p

1 answer

If P and Q are the roots of $x^2+px+q=0$ then

asked Mar 5, 2015 by meena.p

1 answer

The orthocenter of the triangle formed by the lines $xy =0$ and $x+y=1$ is

asked Mar 5, 2015 by meena.p

1 answer

Let $a,b,c$ be positive numbers. The following system of equations in $x,y$ and $z . \large\frac{x^2}{a^2} +\frac{y^2}{b^2} -\frac{z^2}{c^2} $$=1;\large\frac{x^2}{a^2} -\frac{y^2}{b^2} +\frac{z^2}{c^2} $$=1;\large\frac{-x^2}{a^2} +\frac{y^2}{b^2} + \frac{z^2}{c^2} $$=1$;

asked Mar 5, 2015 by meena.p

1 answer

Let z and w be two non-zero complex numbers such that $|z| =|w|$ and $Arg\; z+Arg\;W= \pi$ . Then Z equals

asked Mar 4, 2015 by meena.p

1 answer

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