Question # 1

The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if

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A = B≠ 0

A≠ B and both are of same sign

A≠ B both are of opposite sign

Either A = 0 or B =0

What is range of the function g (x) =|x-3|?

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by

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2, -3, 4

6, -4, -3

6, -4, 3

3, -2, 1.5

(n + 2) (n + 1) n= ______

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When a selection of object is made without paying regard to the order of selection, it is called

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Sequence

Series

Combination

Permutation

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Improper rational fraction

Proper rational fraction

Polynomial

Equation

If f(x) = -x²then f(-2) is

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-2

2

-4

4

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-2

-1

1

2

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tan^-1(1/4) + tan^-1(2/9) is equal to

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1/2 cos^-1(3/5)

1/2 sin^-1(3/5)

1/2 tan^-1(3/5)

tan^-11/2

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

if the value of the sphere, v =4/3πr²^, then the which of the following statement is true?

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r is the function of v

v is the function ofπ

π is independent variable

None of these

2x³+ 3x + 9 is a ______

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Polynomial of degree 3

Quadratic equation

Cubic equation

Polynomial of degree 2

The no of term is the expansion of (a+x)n-1 is

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n+1

n-1

n

n-2

Two unbiased dice are thrown. The probability that the total score is > 5 is

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1 / 18

7 / 18

13 / 18

11 / 18

If x³+ ax²- a²x - a³is divided by x + a, then the remainder is

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0

a³

2a³

-2a³

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The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

The measure of the angle subtended at the centre of the circle by an arc, whose length is equal to the radius of the circle is

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1⁰

1'

1"

1 rad

The difference of two consecutive terms of an A.P is called the

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Common difference

Common ratio

Geometric series

Geometric mean

Let S_ndenote the sum of the first n terms of an A.P. If S_2n= 3 S_n: S_nis equal to

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4

6

8

10

The exact value of cos-1 (0) is

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π/2

-π/2

3π

π-π/6

The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is

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1/5

1/4

1/3

1/2

Power set of X i.e P(X) _______ under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

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sec 3x + c

- cosec 3x + c

If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

None of these

The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

For two vector a and b, a+b = _______

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a b

b+a

b-a

None

The remove the term involving xy, from 7x2 -6√3xy+ 13y2 -16 =0 the angel of rotation is

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θ = 30°

θ = 45°

θ = 60°

θ = 75°

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