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If 2 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 balls is :

asked Oct 16, 2015 by meena.p

1 answer

Let $\overrightarrow{a},\overrightarrow{b}$ and $\overrightarrow{c}$ be three non- zero vectors Such that no two of them are collinear and $(\overrightarrow{a} \times \overrightarrow{b}) \times \overrightarrow{c} =\large\frac{1}{3}$ $| \overrightarrow{b}||\overrightarrow{c}| \overrightarrow{a}$ . If $\theta$ is the angle between vactors $\overrightarrow{b}$ and $\overrightarrow{c}$ then a value of $\sin \theta$ is :

asked Oct 15, 2015 by meena.p

1 answer

The equation of the plane containing the line $2x-5y+z=3;x+y+4z=5,$ and parallel to the plane, $x+3y+6z=1,$ is:

asked Oct 15, 2015 by meena.p

1 answer

The distance of the point $(1,0,2)$ from the point of intersection of the line $\large\frac{x-2}{3} =\frac{y+1}{4} =\frac{z-2}{12}$ and the plane $x-y+z=16$ , is:

asked Oct 15, 2015 by meena.p

1 answer

Let $O$ be the vertex and Q be any point on the parabola, $x^2=8y$ . If the point P divides the line segment OQ internally in the ratio $1:3$ , then the locus of P is :

asked Oct 15, 2015 by meena.p

1 answer

The area (in sq.units) of the quadrilateral formed by the tangents at the end points of the latera recta to the ellipse $\large\frac{x^2}{9} +\frac{y^2}{5}$ $=1$ , is :

asked Oct 15, 2015 by meena.p

1 answer

The number of common tangents to be circles. $x^2+y^2-4x-6y-12=0$ and $x^2+y^2+6x+18y+26=0$ is

asked Oct 15, 2015 by meena.p

1 answer

Locus of the image of the point $(2,3)$ in the line $(2x-3y+4)+k(x-2y+3)=0; k \in R$ is a :

asked Oct 15, 2015 by meena.p

1 answer

The number of points, having both coordinates as integers, that lie in the interior of the triangle with vertices $(0,0),(0,41)$ and $(41,0)$ IS :

asked Oct 15, 2015 by meena.p

1 answer

Let $y(x)$ be the solution of the differential equation : $(x log x) \frac{dy}{dx}$ $+y=2x \log x, (x \geq 1)$ Then $y(e)$ is equal to :

asked Oct 15, 2015 by meena.p

1 answer

The area (in sq.units) of the region described by : $[(x,y);y^2 \leq 2x\;and\;y \geq 4x-1]$ is

asked Oct 15, 2015 by meena.p

1 answer

The integral $\int\limits_2^4 \large\frac{\log x^2}{\log x^2+\log (36-12x+x^2)}$ $dx$ is equal to :

asked Oct 15, 2015 by meena.p

1 answer

The integral $\int \large\frac{dx}{x^2(x^4+1)^{3/4}}$ equals :

asked Oct 15, 2015 by meena.p

1 answer

Let $f(x)$ be a polynomial of degree four having extreme values at $x=1$ and $x=2$ . If $\lim \limits_{ x \to 0} \bigg[ 1+ \frac{f(x)}{x^2} \bigg]$ $=3$ , then $f(2)$ is equal to :

asked Oct 15, 2015 by meena.p

1 answer

The normal to the curve , $x^2+2xy-3y^2=0$ at $(1,1)$

asked Oct 15, 2015 by meena.p

1 answer

If the function $g(x) = \left\{ \begin{array} {1 1} k \sqrt {x+1}, & \quad 0 \leq x 3 \\ mx=2 ,& \quad 3 < x \leq 5 \end{array} \right.$ is differential, then the value of $k+m$ is :

asked Oct 15, 2015 by meena.p

1 answer

$\lim \limits_{x \to 0} \large\frac{(1- \cos 2x)(3 +\cos x )}{x \tan 4x}$ is equal to :

asked Oct 15, 2015 by meena.p

1 answer

The Sum of first 9 terms of the series $\large\frac{1^3}{1} +\frac{1^3+2^3}{1+3} +\frac{1^3+2^3+3^3}{1+3+5}+....$ is

asked Oct 15, 2015 by meena.p

1 answer

If $m$ is the A.M of two distinct real numbers $l$ and $n (l ,n > 1)$ and $G_1,G_2$ and $G_3$ are three geometric means between l and n, then $G_1^4 +2 G_2^4+G_3^4$ equals

asked Oct 15, 2015 by meena.p

1 answer

The sum of coefficient of integral powers of x in the binomial expansion of $(1-2 \sqrt x)^{50}$ is :

asked Oct 15, 2015 by meena.p

1 answer

The number of integers greater than $6,000$ than can be formed, using the digits $3,5,6,7$ and $8$ without repetition, is :

asked Oct 15, 2015 by meena.p

1 answer

The set of all values of $\lambda$ for which the system of linear equations : $2x_1 -2x_2+x_3 =\lambda x_1 ; 2x_1 -3x_2+2x_3 =\lambda x_2 ; -x_1 +2x_2 =\lambda x_3$ has a non- trivial solution ,

asked Oct 15, 2015 by meena.p

1 answer

If $A= \begin{bmatrix}1 & 2 & 2\\ 2 & 1 & -2\\ a & 2 & b \end{bmatrix}$ is a matrix satisfying the equation $AA^T=9I$ , where I is $3 \times 3$ identify matrix , then the ordered pair $(a,b)$ is equal to :

asked Oct 15, 2015 by meena.p

1 answer

Let $\alpha$ and $\beta$ be the roots of equation $x^2-6x-2=0$ . If $a_n= \alpha^n-\beta^n$ , for $n \geq 1$ , then the value of $\large\frac{a_{10}-a_{a8}}{2a_g}$ is equal to :

asked Oct 14, 2015 by meena.p

1 answer

A complex number z is said to be unimodular if $|z|=1$ .Suppose $z_1$ and $z_2$ are complex number Such that $\large\frac{z_1 -2 z_2}{2-z_1z_2}$ is unimodular and $z_2$ is not unimodular . Then the point $Z_1$ lies on a :

asked Oct 14, 2015 by meena.p

1 answer

Let A and B two set containing four and two elements respectively . Then the number of subsets of the set $A \times B$ , each having at least three elements is :

asked Oct 14, 2015 by meena.p

1 answer

Which of the following compounds is not colored yellow ?

asked Oct 14, 2015 by meena.p

1 answer

Which of the following compounds is not an antacid ?

asked Oct 14, 2015 by meena.p

1 answer

Which of the vitamins given below is water soluble ?

asked Oct 14, 2015 by meena.p

1 answer

Which polymer is used in the manufacture of paints and lacquers ?

asked Oct 14, 2015 by meena.p

1 answer

In the reaction

asked Oct 14, 2015 by meena.p

0 answers

In the reaction

asked Oct 14, 2015 by meena.p

1 answer

In the following sequence of reactions : Find the product of C is :

asked Oct 14, 2015 by meena.p

1 answer

The synthesis of alkyl fluorides is best accomplished by :

asked Oct 14, 2015 by meena.p

1 answer

Which compound would give 5- keto -2- methyl hexanal upon oznolysis ?

asked Oct 14, 2015 by meena.p

1 answer

Which of the following compounds will exhibit geometrical isomerism ?

asked Oct 14, 2015 by meena.p

1 answer

In Carius method of estimation of halogens, $250\;mg$ of an organic compound gave $141\;mg$ of $AgBr$ . The percentage of bromine in the compound is

asked Oct 14, 2015 by meena.p

1 answer

Assertion : Nitrogen and oxygen are the main components in the atmosphere but these do not react to form oxides of nitrogen . Reason : The reaction between nitrogen and oxygen requires high temperature .

asked Oct 14, 2015 by meena.p

1 answer

The color of $KMnO_4$ is due to :

asked Oct 14, 2015 by meena.p

1 answer

The number of geometric isomers that can exist for square planar $[Pt(Cl)(py)(NH_3)(NH_2OH)] +$ (py= pyridine ):

asked Oct 14, 2015 by meena.p

1 answer

Which one has the highest boiling point ?

asked Oct 13, 2015 by meena.p

1 answer

Match the catalysts to the correct processes :

asked Oct 13, 2015 by meena.p

1 answer

Which one of the following alkaline earth metal sulphates has its hydration enthalpy greater than its lattice enthalpy ?

asked Oct 13, 2015 by meena.p

1 answer

Which among the following is the most reactive ?

asked Oct 13, 2015 by meena.p

1 answer

From the following statements regarding $H_2O_2$ , choose the incorrect statement :

asked Oct 13, 2015 by meena.p

1 answer

In the context of the Hall -Hero ult process for the extraction of Al, which of the following statement is false ?

asked Oct 13, 2015 by meena.p

1 answer

The ionic radii (in A) of $NH^{3-},O^{2-}$ and $F^{-}$ are respectively:

asked Oct 13, 2015 by meena.p

1 answer

$3\;g$ of activated charcoal was added to $50\;mL$ of acetic acid solution $(0.06\;N)$ in a flask. After an hour it was filtered and strength of the filtrate was found to be $0.042\;N$ . the amount of acetic acid absorbed (per gram of charcoal) is :

asked Oct 13, 2015 by meena.p

1 answer

Higher order $(>3)$ reactions are rare due to :

asked Oct 13, 2015 by meena.p

1 answer

Two Faraday of electricity is passed through a solution of $CuSO_4$ . The mass of copper deposited at the cathode is : (at .mass of $Cu=63.5\;amu)$

asked Oct 13, 2015 by meena.p

1 answer

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