Question # 1

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

sin 3a = ______;

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3sin a - 4sin3a

4sin a -3 sin3 a

3 cos3 a -cosa

4cos3 a - 3cos a

If #n = (n-5)2 + 5, then find #3 x #4.

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54

12

4

9

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

If the roots of x²+ ax + b = 0 are non-real, then for all real x, x²+ ax + b is

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Negative

Positive

Zero

Nothing can be said

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Y = -x log x -x + c

Y = x log x + x

Y = x log x - x + c

None of these

The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is

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120°

30°

130°

45°

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If A is such that a,A,B are in A.P then A is called

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A.M

Common ratio

Common difference

None of these

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The set of all antiderivaties of f(= ∫f(x)dx) is the

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Definite integral

Indefinite integral

Integral

Area

If n is a positive integer then n! is

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(n - 1) (n - 2) .....3,.2.1

n(n - 1) (n - 2) ...3.2.1

n(n - 1 ) ( n -2) ... 3

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(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

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0

-1

1

2

The circle (x - 2)²+ (y + 3)²= 4 is not concentric with the circle

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(x - 2)²+ (y + 3)²= 9

(x + 2)²+ (y - 3)²= 4

(x + 2)²+ (y - 3)²= 8

(x - 2)²+ (y + 3)²= 5

The number of real tangents that can be drawn to the ellipse 3x²+ 5y²= 32 passing thro. (3, 5) is

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0

1

2

Infinite

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For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

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One-to-one and onto

One-to-one but not on to

Onto but not one-to-one

Neither one-to-one nor onto

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Two real roots

Two positive roots

Two negative roots

One positive and one negative root

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The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

The latus rectum of the ellipse 5x²+ 9y²= 45 is

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10 / 3

5 / 3

3 / 5

3 / 10

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None of these

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Multiplication property

Additive property

Trichotomy property

Transitive property of inequality

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