Question # 1

If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

csc(-π/2) = __________;

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0

1

-1

Undefined

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

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Periodic

Surjective

Bijective

Injective

The line through the centre and perpendicular to the transverse axis is called the

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Major axis

Minor axis

Focal axis

Conjugate axis

If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is

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8, 15, 17

3, 4, 5

12, 15, 18

5, 12, 13

sin(a + β)+sin(a -β) =_____;

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2cosa cosβ

2sina cosβ

2cosa sinβ

-2sina sinβ

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are real no

both are not real

are imaginary no

both are imaginary

Range of sin x is ______

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[-1, 1]

R

Negative real numbers

None of these

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1

-1

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The function sine and Cosine have the closed internal as their range

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[1, 0]

[-1, 1]

[0, 1]

[-1, 2]

The number of subsets of B = {1,2,3,4,5}

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10

32

16

5

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

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Improper subset of B

Super set of B

Proper subset of B

None of these

x²+ x - 5 = 0 is

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A polynomial

An inequality

An identity

None

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x³⁹

40x³⁹

40x⁴¹

none of these

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A,. B, C are coincident

A, B, C are collinear

Both A and B

None of these

The equation of the parabola with directirx x = 2 and the axis y = 0 is

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y²= 8x

y²= -8x

y²= 4x

y²= -4x

Every real number is

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A complex number

A rational number

A natural number

A prime number

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15

15 i

-15 i

-15

Two circle s1: x2+ y2 +2x- 2y- 7= 0: s2: x2+ y2- 6x+ 4y+ 9= 0

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Touch externally

Touch internally

Intersects each other

Do not intersects

(1,0) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 3

x - 2y < -5

If a,b = 0 then

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a |b

a||b

a = b

None

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The eccentricity of the conic 9x²- 16y²= 144 is

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4/5

5/4

4/3

3/4

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sec 3x + c

- cosec 3x + c

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3

1

4

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Two real roots

Two positive roots

Two negative roots

One positive and one negative root

In the expansion of (a + x)ⁿthe general term T_{r + 1}is

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F(x) = x^xdecreases in the interval

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(0, e)

(0, 1)

(-∞,0)

None

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