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

asked Oct 26, 2015 by meena.p

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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 26, 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 26, 2015 by meena.p

1 answer

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

asked Oct 26, 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 26, 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 26, 2015 by meena.p

1 answer

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

asked Oct 26, 2015 by meena.p

1 answer

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

asked Oct 26, 2015 by meena.p

1 answer

A complex number z is said to be uni modular if $|z|=1$ . Suppose $z_1$ and $z_2$ are complex numbers such that $\large\frac{z_1 -2 z_2}{2-z_1z_2}$ is unimodular. Then the point $z_1$ lies on a :

asked Oct 26, 2015 by meena.p

1 answer

If $12$ 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 26, 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 $\large\frac{a_{10}-2_{a8}}{2_{a9}}$ is equal to :

asked Oct 23, 2015 by meena.p

1 answer

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

asked Oct 23, 2015 by meena.p

1 answer

The sum of the 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 23, 2015 by meena.p

1 answer

The mean of the data set comprising of 16 observations is $16$ . If one of the observation valued 16 is deleted and three new observations valued 3,4,and 5 are added to the data , then the mean of the resultant data, is :

asked Oct 23, 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 23, 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 23, 2015 by meena.p

1 answer

Which one has the highest boiling point ?

asked Oct 23, 2015 by meena.p

1 answer

The standard Gibbs energy changes at 300 k for the reaction $2A= B+C$ is $2494.2\;J$ At a given time, the composition of the reaction mixture is $[A]=\large\frac{1}{2}$ $,[B] =24$ and $[C]=\frac{1}{2}$ . The reaction proceeds in the : $[R= 8.314\;J/K/mol,e = 2.718]$

asked Oct 23, 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 23, 2015 by meena.p

1 answer

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

asked Oct 23, 2015 by meena.p

1 answer

The Vapour pressure of acetone at $20^{\circ}C$ is $185\;torr$ .When $1.2 \;g$ of a non- volatile substance was dissolved in 100 g of acetone at $20^{\circ}$ its vapour pressure was $183$ torr. The molar mass $(g mol^{-1}) of the substance is :

asked Oct 23, 2015 by meena.p

1 answer

Which of the following compounds will exhibit geometrical isomerism?

asked Oct 23, 2015 by meena.p

1 answer

Sodium metal crystallizes in a body centered cubic lattice with a unit cell edge of $44.29 \dot{A}$ the radius of sodium atom is approximately :

asked Oct 23, 2015 by meena.p

1 answer

Which of the following compounds is not colored yellow ?

asked Oct 23, 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 compounb is :

asked Oct 23, 2015 by meena.p

1 answer

The following reaction is performed at $298\;K$ $2NO(g) +O_2(g) \to 2NO_2(g)$ . The standard free energy of formation of $NO(g)$ is $86.6\;kJ\; mol$ at $298\;K$ . What is the standard free energy of formation of $NO_2 (g)$ at $298\;K\; (K_p = 1.6 \times 10^{12})$

asked Oct 23, 2015 by meena.p

1 answer

The inter molecular interaction that is dependent on the inverse cube of distance between the molecules is :

asked Oct 23, 2015 by meena.p

1 answer

Which of the vitamins gives below is water soluble ?

asked Oct 23, 2015 by meena.p

1 answer

The molecular formula of a commercial resin used for exchanging ions in water softening is $C_8H_7SO_3Na$ (Mol.wt.206) What would be the maximum uptake of $Ca^{2+}$ ions by the resin when expressed in mole per gram resin ?

asked Oct 23, 2015 by meena.p

1 answer

The synthesis of alkyl fluorides is best accomplished by :

asked Oct 23, 2015 by meena.p

1 answer

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

asked Oct 23, 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 23, 2015 by meena.p

1 answer

Which among the following is the most reactive ?

asked Oct 23, 2015 by meena.p

1 answer

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

asked Oct 23, 2015 by meena.p

1 answer

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

asked Oct 16, 2015 by meena.p

1 answer

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

asked Oct 16, 2015 by meena.p

1 answer

In the Reaction :

asked Oct 16, 2015 by meena.p

1 answer

Match the catalysts to the correct processes :

asked Oct 16, 2015 by meena.p

1 answer

In the context of the Hall- Heroult process for the extraction of $Al$ which of the following statement is false ?

asked Oct 16, 2015 by meena.p

1 answer

Which of the following compounds is not an antacid ?

asked Oct 16, 2015 by meena.p

1 answer

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

asked Oct 16, 2015 by meena.p

1 answer

The color of $KMnO_4$ is due to :

asked Oct 16, 2015 by meena.p

1 answer

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

asked Oct 16, 2015 by meena.p

1 answer

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

asked Oct 16, 2015 by meena.p

1 answer

In the following sequence of reactions :

asked Oct 16, 2015 by meena.p

1 answer

Which of the following is the energy of a possible excited state of hydrogen ?

asked Oct 16, 2015 by meena.p

1 answer

The negation of $\sim S \vee ( \sim r \wedge s)$ is equivalent to :

asked Oct 16, 2015 by meena.p

1 answer

Let $\tan^{-1}y= \tan^{-1} x +\tan^{-1} \bigg( \large\frac{2x}{1-x^2}\bigg)$ , Where $|x| < \large\frac{1}{\sqrt 3}$ . Then a value of y is :

asked Oct 16, 2015 by meena.p

1 answer

If the angle of elevation of the top of a tower from three collinear points A,B and C, on a line leading to the foot of the tower, are $30^{\circ}, 45^{\circ}$ and $60^{\circ}$ respectively , then the ratio, $AB: BC$ , is :

asked Oct 16, 2015 by meena.p

1 answer

The mean of the data set comprising of 16 observations is $16$ . If one of the observation valued $16$ is deleted and three new observation valued $3,4$ and $5$ are added to the data, then the mean of the resultant data, is :

asked Oct 16, 2015 by meena.p

1 answer

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