Question # 1

If the roots of ax²+ b = 0 are real and distinct then

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ab > 0

a = 0

ab < 0

a > 0, b > 0

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cos 2x + c

- cos 2x + c

tan 2x + c

cot 2x + c

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

The polynomial x - a is a factor of the polynomial f(x) if and only if

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f(a) is positive

f(a) is negative

f(a) = 0

None of these

w⁴= ______

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0

1

w

w²

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Three unbiased coins are tossed. Then the probabilities of getting two heads is

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3/8

1/8

1/4

None of these

If y=sin(ax+b) then y4=________:

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sin4(ax+b)

a4sin(ax+b)

a4cos(ax+b)

None of these

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

The centre of the conic x2 +16x +4y2 -16y +76 =0 is

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(0,10)

(-8,4)

(-8,-2)

(1,1)

The multiplicative inverse of -3i is

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3i

-3i

-1/3i

1/3 i

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A

A'

U

None of these

The fixed point from which all the points of a circle are equidistant is called the

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chord of the circle

centre of the circle

diameter of the circle

radius of the circle

A diagonal matrix in which the diagonal elements are equal is called a

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Null matrix

Identity matrix

Scalar matrix

Row matrix

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cos x

- sin x

- cos x

tan x

sin(π/2+θ) = _______;

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sinθ

cosθ

-sinθ

-cosθ

In set builder notation the set {0, 1, 2, ............, 100} can be written as

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0

1

8

∞

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

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The distance between the points (1, 2) and (2, 1) is

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3

6

If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =

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4

1/2

3

4/3

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0

3

9

-3

If D = {a} , the P(D) =

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{a}

∅

{∅,{a}}

{∅,a}

Cosec 60° = ______

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The additive identity of real number is

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1

2

1/2

0

Multiplying each side of an inequality by (-1) will:

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Not effect

Change the sign

Become zero

Not defined

A fraction in which the degree of the numerator is less than the degree of the denominator is called

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Polynomial

Equation

Proper fraction

Improper fraction

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The function f{(x, y) | y = ax²+ bx + c} is

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One-one function

Constant function

Onto function

Quadratic function

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