Recent questions tagged jeemain

Two photons of energy $2.5 \;eV$ and $3.6\;eV$ fall on a metal surface of work function $1.5\;eV$. The ratio of the maximum velocities of the photo electrons emitted from the metal surface is :

asked Sep 23, 2013 by meena.p

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The radius of the circle given by $x^2+y^2+z^2+2x-2y-4z-19=0=x+2y+2z+7,$ is

asked Sep 23, 2013 by meena.p

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A plane passes through $(2,3,1)$ and is perpendicular to the line having direction ratios $3,-4,7$.The perpendicular distance from the origin to this plane is

asked Sep 23, 2013 by meena.p

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If the angles made by a straight line with the coordinate axes are $\alpha,\large\frac{\pi}{2},$$ -\alpha, \beta$ then $\beta=$

asked Sep 23, 2013 by meena.p

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The ratio in which the line joining $(2,-4,3)$ and $(-4,5,-6)$ is divided by the plane $3x+2y+z-4$ is

asked Sep 23, 2013 by meena.p

1 answer

The polar equation of the line perpendicular to the line $\sin \theta- \cos \theta=\large\frac{1}{r}$ and passing through the point $\bigg(2, \large\frac{\pi}{6}\bigg)$ is

asked Sep 23, 2013 by meena.p

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The angle between the asymptotes of the hyperbola $x^2-3y^2=3$ is

asked Sep 23, 2013 by meena.p

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The eccentricity of the ellipse $x^2+4y^2+2x+16y+13=0$ is

asked Sep 23, 2013 by meena.p

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If the straight line $y=mx+c$ is parallel to the axis of the parabola $y^2=lx$ and intersects the parabola at $\bigg ( \large\frac{c^2}{8}$$,c\bigg)$ then the length of the latus rectum is

asked Sep 23, 2013 by meena.p

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If a chord of the parabola $y^2=4x$ passes through its focus and makes an angle $\theta$ with the $X-axis,$ then its length is

asked Sep 23, 2013 by meena.p

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The point of contact the circles $x^2+y^2+2x+2y+1=0$ and $x^2+y^2-2x+2y+1=0$ is

asked Sep 23, 2013 by meena.p

1 answer

If the circle $x^2+y^2+8x-4y+c=0$ touches the circle $x^2 +y^2+2x+4y-11=0$ externally and cuts the circle $x^2+y^2-6x+8y+k=0$ orthogonally then $k=$

asked Sep 23, 2013 by meena.p

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If the lines $3x+4y-14=0$ and $6x+8y+7=0$ are both tangents to a circle, then its radius is

asked Sep 23, 2013 by meena.p

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Aline segment $AM=a$ moves in the $XOY$ plane such that $AM$ is parallel to the $x-axis$. If A moves along the circle $x^2+y^2=a^2$, then the locus of M is

asked Sep 23, 2013 by meena.p

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If the line $y=2x+c,$ is a tangent to the circle $x^2+y^2=5,$ then a value of c is

asked Sep 23, 2013 by meena.p

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If $s$ and $p$ are respectively the sum and the product of the slope of the lines $3x^2-2xy-15y^2=0,$ then $s:p=$

asked Sep 23, 2013 by meena.p

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If $ax^2+2hxy+by^2+2gx+2fy+c=0$ represents a pair of parallel lines then $\sqrt {\large\frac{g^2-ac}{f^2-bc}}=$

asked Sep 23, 2013 by meena.p

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If one of the lines in the pair of straight lines given by $4x^2+6xy+ky^2=0$ bisects the angle between the coordinate axes, then $k \in$

asked Sep 23, 2013 by meena.p

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The line joining the points $A(2,0)$ and $B(3,1)$ is rotated through an angle of $45^{\circ}$, about A in the anticlockwise direction. The coordinates of B in the new position

asked Sep 23, 2013 by meena.p

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The image of the point $(3,8)$ in the line $x+3y=7$ is

asked Sep 23, 2013 by meena.p

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The number of points $P(x,y)$ with natural numbers as coordinates that the inside the quadrilateral formed by the lines $2x+y=2,y=0$ and $x+y=5 $ is

asked Sep 23, 2013 by meena.p

1 answer

If the vectors $\bar {AB}=-3 \bar {i}+ 4 \bar {k}$ and $\bar {AC}=5 \bar {i}-2 \bar j+4 \bar {k} $ are the sides of a triangle ABC, then the length of the medium through A is

asked Sep 23, 2013 by meena.p

1 answer

The locus of a point such that the sum of its distance from the points $(0,2)$ and $(0,-2)$ is $6,$ is

asked Sep 23, 2013 by meena.p

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The probability that an individual suffers a bad reaction from an injection is 0.001. The probability that out of 2000 individuals exactly three will suffer bad reaction is

asked Sep 23, 2013 by meena.p

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The probability distribution of a random variable $X$ is given below :X=x 0 1 2 3 P(X=x) $\frac{1}{10}$ $\frac{2}{10}$ $\frac{3}{10}$ $\frac{4}{10}$ Then the variance of $X$ is

asked Sep 23, 2013 by meena.p

1 answer

Let $A$ and $B$ be events in a sample spaces $S$ such that $P(A)=0.5, P(B)=0.4$ and $P(A \cup B)=0.6$. observe the following lists:

asked Sep 23, 2013 by meena.p

1 answer

Seven white balls and three black balls are randomly arranged in a row. The probability that no two black balls are placed adjacently is

asked Sep 23, 2013 by meena.p

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A class has fifteen boys and five girls. Suppose three students are selected at random from the class. The probability that three are two boys and one girl is

asked Sep 23, 2013 by meena.p

1 answer

Let $\bar {v}=2 \bar{i}+\bar {j}-\bar {k}$ and $\bar {w}=\bar {i}+3 \bar{k}$. If $ \bar u$ is any unit vector then the maximum value of the scalar triple product $(\bar {u} \; \bar {v}\; \bar {w})$ is

asked Sep 23, 2013 by meena.p

1 answer

If $|\bar {a}|=1$,$ |\bar {b}|=2$ and the angle between $\bar {a} $ and $\bar {b}$ is $120^{\circ},$ then $\{(\bar {a}+ 3 \bar {b}) \times (3 \bar {a}-\bar {b})\}^2=$

asked Sep 23, 2013 by meena.p

1 answer

For any vector $\bar r,\bar {i} \times (\bar {r} \times \bar {i}) \div \bar {j} \times (\bar {r} \times \bar {j})+ \bar k \times (\bar {r} \times {\bar k})=$

asked Sep 23, 2013 by meena.p

1 answer

If the vector $\bar {i}-2x \bar {j}-3 y \bar{k}$ and $\bar {i}+3 x \bar{ j}+2 y \bar {k}$ are orthogonal to each other, then the locus of the point $(x,y)$ is

asked Sep 23, 2013 by meena.p

1 answer

The magnitude of the projection of the vector $\bar {a}=4 \bar {i}-3 \bar {j}+2 \bar k $ on the line which makes equal angles with the coordinate axes is

asked Sep 23, 2013 by meena.p

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The angle of elevation of a stationary cloud from a point 2500 m above a lake is $15^{\circ}$ and from the same point the angle of depressed its reflection in the lake is $45^{\circ}$. The height (in meters) of the cloud above the lake , given that $\cot 15^{\circ}=2+\sqrt {3}$, is

asked Sep 23, 2013 by meena.p

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In a triangle $ABC$ if $\large\frac{\cos A}{a}=\frac {\cos B}{b} =\frac{\cos C}{c}$, then $\Delta ABC$ is

asked Sep 20, 2013 by meena.p

1 answer

In triangle ABC if $a \cos ^2 \large\frac{C}{2}$$+c \cos ^2 \large\frac{A}{2}=\frac{3b}{2}$, then the sides of the triangle are in

asked Sep 20, 2013 by meena.p

1 answer

For $0 < x \leq \pi, \sin h^{-1} (\cot x)=$

asked Sep 20, 2013 by meena.p

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$(\tan ^{-1}x)^2+(\cot ^{-1}x)^2=\large\frac{5 \pi^2}{8}$$=>x=$

asked Sep 20, 2013 by meena.p

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The most general value of $\theta$ which satisfies both the equations $\tan \theta=-1$ and $\cos \theta=\large\frac{1}{\sqrt 2}$ is :

asked Sep 20, 2013 by meena.p

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If $f(x)=\sin ^6 x+ \cos ^6x$ for $x \in IR,$ then $f(x)$ lies in the interval

asked Sep 20, 2013 by meena.p

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$\cos A =\large\frac{3}{4}$$=>32 \sin \bigg(\large\frac{A}{2}\bigg)$$ \sin \bigg(\large\frac{5A}{2}\bigg)=$

asked Sep 20, 2013 by meena.p

1 answer

If $f:IR \to IR$ is defined by $f(x)=7+ \cos (5x+3)$ for $ x \in IR,$ then the period of f is :

asked Sep 20, 2013 by meena.p

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$\large\frac{(1+i)^{2011}}{(1-i)^{2009}}=$

asked Sep 20, 2013 by meena.p

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The locus of the complex number z such that $arg \bigg (\large\frac{z-2}{z+2}\bigg)=\frac{\pi}{3}$ is :

asked Sep 20, 2013 by meena.p

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Let $z=a-\large\frac{i}{2};$$ \alpha \; \in IR.$ Then $|i+z|^2-|i-z|^2=$

asked Sep 20, 2013 by meena.p

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$\begin{vmatrix} 24 & 25 & 26\\ 25 & 26 & 27 \\ 26 & 27 & 27\end{vmatrix}=$

asked Sep 20, 2013 by meena.p

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$A=\begin{bmatrix} 1 & 0 & 1\\ 0 & 1 & 1 \\ 0 & 1 & 0\end{bmatrix} \;=>\;A^2-2A=$

asked Sep 20, 2013 by meena.p

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If A is a matrix such that $\begin{bmatrix} 2 & 1 \\ 3 & 2 \end{bmatrix} A\begin{bmatrix} 1 & 1 \end{bmatrix} =\begin{bmatrix} 1 & 0 \\ 0 & 0 \end{bmatrix}$ then A=

asked Sep 20, 2013 by meena.p

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$A(\alpha, \beta)=\begin {bmatrix} \cos \alpha & \sin \alpha & 0 \\ -\sin \alpha & \cos \alpha & 0 \\ 0 & 0 & e^{\beta} \end{bmatrix} => [A(\alpha, \beta)]^{-1}=$

asked Sep 20, 2013 by meena.p

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If $x$ is real, the value of $\large\frac{x^2-3x+4}{x^2+3x+4}$ lies in the interval

asked Sep 20, 2013 by meena.p

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