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If A = {1, 2, 3}, B = {1, ,4, 6 , 9} and R is a realation from A to B defined by 'x' is greater than y. Find the range of R.

{1, 4, 6 , 9}

{4, 6, 9}

{1}

None of these

If tan θ = x - 1/4x, then find the value of sec θ.

-2x , 1/2x

-1/2x , 2x

2x

2x, 1/2x

lim_{n}_{→}_{∞ }(1^{2} + 2^{2} + 3^{3} ………….+n^{2} )/n^{2} is equal to –

1

1/2

1/3

0

Find the mean deviation of the series a, a + d, a + 2d

(n + 1)d / 2n + 1

nd / 2n + 1

n(n + 1)d / 2n + 1

(2n + 1)d / n(n + 1)

If the sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers, then find k.

1 / n

(n - 1) / n

(n + 1) / 2n

(n + 1) / n

If the point (5, 2) bisects the intercept of a line between the axes, then find its equation.

5x + 2y = 20

2x + 5y = 20

5x – 2y = 20

2x – 5y = 20

If the equation ( 4a - 3 ) x^{2} + ay^{2} + 6x - 2y + 2 - 0 represented circle, then find its centre.

(3, –1)

(3, 1)

(–3, 1)

If A and B are the sums of odd and even terms respectively in the expansion of (x + a)^{n}, find (x + a)^{2n} – (x – a)^{2n} .

If the sum of n terms of an A.P. be 3n^{2} – n and its common difference is 6, then find its first term.

Let (3, 4, -1) and (–1,2, 3) be the end points of a diameter of a sphere. Find the radius of the sphere.

2

3

6

7

Let A = {1, ,2, 3}, B = {2, 3, 4}, than which of the following is a function from A to B?

{(1, 2), (1, 3), (2, 3), (3, 3)}

{(1, 3), (2, 4)}

{(1, 3), (2, 2), (3, 3)}

{(1, 2), (2, 3), (3, 2), (3, 4)}

If the roots of x^{2} – bx + c = 0 are two consecutive integers, find b^{2} = 4c.

Write the value of lim_{x}_{→}_{c }{f(x) – f(c)} / (x - c) .

f'(c)

f’’(c)

f(c)

If in a triangle ABC, tan A + tan B + tan C = 0, then find cot A.cot B.cot C.

1/6

If α,β are the roots of the equation x^{2} + px + 1 =0 ; γδ the roots of the equation x^{2} + qx + 1 =0, then (α -γ) (α + δ)( β -γ ) (β + δ ) = ?

q^{2} – p^{2}

p^{2} – q^{2}

p^{2} + q^{2}

A(6, 3), B(–3, 5), C(4, –2) and D(x, 3x) are four points. If Triangle DBC : Triangle ABC = 1 : 2, then find x.

If the focus of a parabola is (–2, 1) and the directrix has the equation x + y = 3, then find its vertex.

(0, 3)

(–1, 1/2)

(–1, 2)

(2, –1)

Let x_{1}, x_{2}, ……., x_{n} be values taken by a variable X and y_{1}, y_{2},…… , yn be the value taken by a variable Y such that y_{i} = ax_{i} + b, I = 1, 2,….. , n. Than -

Var(Y) = a^{2} Var(X)

Var(X) = a^{2} Var(Y)

Var(X) = Var(X) + b

If T_{2}/T_{3 }in the expansion of (a + b)^{n} and T_{3}/T4 in the expansion of (a + b)^{n+3} are equal, than n equal to -