Recent questions tagged jeemain

The circle $4x^2+4y^2-12 x-12y+9=0$

asked Sep 16, 2013 by meena.p

1 answer

If the equation $ax^2+2hxy+by^2+2gx+2fy+c=0$ represents a pair of straight lines, then the square of the distance of their point of intersection from the origin is

asked Sep 16, 2013 by meena.p

1 answer

The equation $x^2-5xy+py^2+3x-8y+2=0$ represents a pair of straight lines. If $\theta$ is the angle between them, then $\sin \theta=$

asked Sep 16, 2013 by meena.p

1 answer

The equation of the pair of lines passing through the origin whose sum and product of slopes are respectively the arithmetic mean geometric mean of 4 and 9 is

asked Sep 16, 2013 by meena.p

2 answers

If the points $(1,2)$ and $(3,4) $ lie on the same side of the straight line $ 3x-5y+a=0$ then a lies in the set

asked Sep 16, 2013 by meena.p

1 answer

If $2x+3y=5$ is the perpendicular bisector of the segment joining the points $A\bigg[1,\large\frac{1}{3}\bigg]$ and $B$ then $B=$

asked Sep 16, 2013 by meena.p

1 answer

If $p$ and $q$ are the perpendicular distance from the origin to the straight lines $x\; \sec \theta-y \;cosec \theta=a$ and $x \cos \theta+ y \sin \theta= a \cos 2 \theta,$ then

asked Sep 16, 2013 by meena.p

1 answer

The origin is translated to (1,2). The point $(7,5)$ in the old system undergoes the following transformations successively. (i) Moves to the new point under the given translation of origin. (ii) Translated through 2 units along the negative direction of the new X-axis. (iii) Rotated through an angle $\large\frac{\pi}{4}$ about the origin of new system in the clockwise direction. The final position of the point (7,5) is

asked Sep 16, 2013 by meena.p

1 answer

If $X$ is a Poisson variate and $P(X=1)=2P(X=2)$ then $P(X=3)=$

asked Sep 16, 2013 by meena.p

1 answer

The random variable takes the value $1,2,3,..........,m$. If $P(X=n)=\large\frac{1}{m}$ to each n, then the variance of $X$ is

asked Sep 16, 2013 by meena.p

1 answer

A bag contains $2n+1$ coins. It is known that $n$ of these coins have a head on both sides. Whereas the remaining $n+1$ coins are fair. A coins is picked up at random from the bag and tossed. If the probability that the toss results in a head is $\large\frac{31}{42}.$ then $n$=

asked Sep 16, 2013 by meena.p

1 answer

Two fair dice are rolled. The probability of the sum of digits on their faces to be greater that or equal to 10 is

asked Sep 16, 2013 by meena.p

1 answer

Two numbers are chosen at random from $\{1,2,3,4,5,6,7,8\}$ at a time. The probability that smaller of the two numbers is less than 4 is:

asked Sep 16, 2013 by meena.p

1 answer

If $\overrightarrow {a}$ and $\overrightarrow {b}$ are two non-zero perpendicular vectors, then a vector $\overrightarrow {y}$ satisfying equations $\overrightarrow {a}.\overrightarrow {y}=c$ (c scalar) and $\overrightarrow {a} \times \overrightarrow {y} = \overrightarrow {b}$ is

asked Sep 16, 2013 by meena.p

1 answer

A unit vector co planar with $ \overrightarrow {i}+\overrightarrow {j}+ 3\overrightarrow {k}$ and $ \overrightarrow {i} +3 \overrightarrow {j}+ \overrightarrow {k}$ and perpendicular to $\overrightarrow {i}+ \overrightarrow {j}+ \overrightarrow {k}$ is

asked Sep 16, 2013 by meena.p

1 answer

The shortest distance between the lines $ \overrightarrow {r}=3\overrightarrow {i}+5 \overrightarrow {j}+ 7 \overrightarrow {k}+ \lambda (\overrightarrow {i}+2 \overrightarrow {j}+\overrightarrow {k})$ and $\overrightarrow {r}=- \overrightarrow {i} -\overrightarrow {j} -\overrightarrow {k}+ \mu (7\overrightarrow {i}-6 \overrightarrow {j}+\overrightarrow {k}) $ is

asked Sep 16, 2013 by meena.p

1 answer

$\overrightarrow {a} \neq \overrightarrow {0},\;\overrightarrow {b} \neq \overrightarrow {0},\;\overrightarrow {c} \neq \overrightarrow {0},\;\overrightarrow {a} \times \overrightarrow {b} = \overrightarrow {0},\;\overrightarrow {b} \times \overrightarrow {c}=0\;=>\; \overrightarrow {a} \times \overrightarrow {c}=$

asked Sep 16, 2013 by meena.p

1 answer

$P,Q,R$ and $S$ are four points with the position vectors $3 \overrightarrow {i}- 4 \overrightarrow {j}+5 \overrightarrow {k}, 4 \overrightarrow {k},-4 \overrightarrow {i}+ 5\overrightarrow {j}+\overrightarrow {k}$ and $-3\overrightarrow {i}+ 4\overrightarrow {j}+3 \overrightarrow {k}$ respectively. Then the line $PQ$ meets the line RS at the point.

asked Sep 16, 2013 by meena.p

1 answer

The points whose position vectors are $2 \overrightarrow {i}+3 \overrightarrow {j}+4 \overrightarrow {k},\; 3 \overrightarrow {i}+4\overrightarrow {j}+2 \overrightarrow {k}$ and $4 \overrightarrow {i}+2 \overrightarrow {j}+3 \overrightarrow {k}$ are the verticies of

asked Sep 16, 2013 by meena.p

1 answer

A person observes the top of a tower from a point A on the ground. The elevation of the tower from this point is $60^{\circ}$. He moves $60\;m$ in the direction perpendicular to the line joining A and base of the tower. The angle of elevation of the tower from this point is $45^{\circ}.$ Then the height of the tower (in meters) is

asked Sep 16, 2013 by meena.p

1 answer

If, in $\Delta\; ABC,\large\frac{1}{a+c}+\frac{1}{b+c}=\frac{3}{a+b+c}$ then the angle $C=$

asked Sep 16, 2013 by meena.p

1 answer

If the coefficient of $x^7$ in $\big(ax^2+\large\frac{1}{bx}\big)^{11}$ is equal to coefficient of $x^{-7}$ in $\big(ax-\large\frac{1}{bx^2}\big)^{11}$, then $a$ and $b$ satisfy the relation

asked Sep 15, 2013 by rvidyagovindarajan_1

1 answer

The coefficient of $x^n$ in the expansion $(1+x)(1-x)^n$ is

asked Sep 15, 2013 by rvidyagovindarajan_1

1 answer

The total no. of terms in the expansion $(x+y)^{100}+(x-y)^{100} $ is ?

asked Sep 15, 2013 by rvidyagovindarajan_1

2 answers

$S=\{1,2,3..............12\}$ $A,B,C $ are disjoint equivalent subsets of $S$ so that $A\cup B\cup C=S$. How many such sets $A,B,C$ can be formed?

asked Sep 14, 2013 by rvidyagovindarajan_1

1 answer

In any triangle $ABC, r_1r_2+r_2r_3+r_3r_1=$

asked Sep 14, 2013 by meena.p

1 answer

$\tan\; h^{-1} \bigg(\large\frac{1}{2}\bigg)$$+\cot h^{-1}(2)=$

asked Sep 14, 2013 by meena.p

1 answer

$\cos ^{-1} \bigg(\large\frac{5}{13}\bigg)$$+\cos ^{-1} \bigg(\large\frac{3}{5}\bigg)$$=\cos ^{-1} x=>x=$

asked Sep 14, 2013 by meena.p

1 answer

The set of solution of the system of equations: $x+y=\large\frac{2 \pi}{3}$ and $\cos x +\cos y=\large\frac{3}{2},$ where $x,y$ are real, is

asked Sep 14, 2013 by meena.p

1 answer

If $\tan (\pi \cos \theta)=\cot (\pi \sin \theta)$ then a value of $ \cos \bigg( \theta-\large\frac{\pi}{4}\bigg)$ among the following is :

asked Sep 14, 2013 by meena.p

1 answer

$\sin \theta+\cos \theta=p, \sin ^3 \theta+\cos ^3 \theta=q=>p(p^2-3)=$

asked Sep 14, 2013 by meena.p

1 answer

The period of $f(x)=\cos \bigg(\large\frac{x}{3}\bigg)$$+\sin \bigg(\large\frac{x}{2}\bigg)$ is

asked Sep 14, 2013 by meena.p

1 answer

$\large\frac{(1+i)x-i}{2+i}+\frac{(1+2i)y+i}{2-i}$$=1=>(x,y)=$

asked Sep 14, 2013 by meena.p

1 answer

If a complex number z satisfies $|z^2-1|=|z|^2+1,$ then z lies on :

asked Sep 14, 2013 by meena.p

1 answer

$\bigg(\large\frac{1+i}{1-i}\bigg)^4+\bigg(\frac{1-i}{1+i}\bigg)^4=$

asked Sep 14, 2013 by meena.p

1 answer

The number of real values of $t$ such that the system of homogeneous equations:\[tx+(t+1)y+(t-1)z=0\]\[(t+1)x+ty+(t+2)z=0\] \[(t-1)x+(t+2)y+tz=0\] has non-trivial solutions, is

asked Sep 14, 2013 by meena.p

1 answer

The system of equations $3x+2y+z=6, 3x+4y+3z=14, 6x+10 y +8z=a,$ has infinite number of solutions, if $a=$

asked Sep 14, 2013 by meena.p

1 answer

$\begin{vmatrix} x+2 & x+3 & x+5 \\ x+4 & x+6 & x+9 \\ x+8 & x+11 & x+15 \end{vmatrix}=$

asked Sep 14, 2013 by meena.p

1 answer

If $A=\begin{bmatrix} -8 & 5 \\ 2 & 4 \end{bmatrix}$ satisfies the equation $x^2+4x-p=0,$ then $p=$

asked Sep 14, 2013 by meena.p

1 answer

If $\alpha$ and $\beta$ are the roots of the equation $x^2-2x+4=0,$ then $\alpha^9+\beta ^9=$

asked Sep 14, 2013 by meena.p

1 answer

If the roots of $x^3-42 x^2+336 x -512=0,$ are in increasing geometric progression, then its common ratio is

asked Sep 14, 2013 by meena.p

1 answer

The set of solutions satisfying both $x^2+5x+6 \geq 0$ and $x^2+3x-4 < 0$ is:

asked Sep 14, 2013 by meena.p

1 answer

If the harmonic mean between the roots of $(5+ \sqrt 2)x^2-bx+(8+ 2\sqrt 5)=0$ is $4$, then the value of b

asked Sep 13, 2013 by meena.p

1 answer

$\large\frac{1}{2.3}+\frac{1}{4.5}+\frac{1}{6.7}+\frac{1}{8.9}+............$

asked Sep 13, 2013 by meena.p

1 answer

If $\large\frac{1}{x^4+x^2+1}=\frac{Ax+B}{x^2+x+1}+\frac{Cx+D}{x^2-x+1}$, then $C+D=$

asked Sep 13, 2013 by meena.p

1 answer

If $x$ is small so that $x^2$ and higher powers can be neglected, then the approximate value for $\large\frac{(1-2x)^{-1}(1-3x)^{-2}}{(1-4x)^{-3}}$ is :

asked Sep 13, 2013 by meena.p

1 answer

The term independent of $x\;(x>0,x \neq 1)$ in the expansion of $\bigg[\large\frac{(x+1)}{ x^{2/3}-x^{1/3}+1)}-\frac{(x-1)}{(x -\sqrt x)}\bigg]^{10}$ is

asked Sep 13, 2013 by meena.p

1 answer

If $t_n$ denotes the number of triangles formed with n points in a plane no three of which are collinear and if $t_{n+1}-t_n=36,$ then $n=$

asked Sep 13, 2013 by meena.p

1 answer

10 men and 6 women are to be seated in a row so that no two women sit together. The number of ways they can be seated is :

asked Sep 13, 2013 by meena.p

1 answer

$^nC_{r-1}=330,\;^n C_r =462,\;^n C_{r+1}=462 =>r\;$=

asked Sep 13, 2013 by meena.p

1 answer

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