Question # 1

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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

Domain of sec x is ______

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The range of function f(x)=-x2+2x-1 is

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R

(-∞,0]

(-∞,1]

[0,∞)

Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always

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Positive

Negative

Real

None of these

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There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?

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10

66

71

106

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What is the period of sin 2x/3 cos 4x=?

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π

2π

π/2

π/3

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

Which is in the solution set of 4x - 3y < 2

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(3, 0)

(4, 1)

(1, 3)

None

The radius of the circle (x - 1)²+ (y + 3)²= 61 is

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8

4

64

None of these

For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

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Associative property of addition

Associative property of multiplication

Additive identity

Multiplicative identity

If the terminal rays of an angle falls on any axis then the angle is called

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Allied angle

Acute angle

Standard position

Quadrantal angle

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If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

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The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

If f(x) = tan x then f(0) is

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0

1

1/2

Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is

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2

3

4

1

A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

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50

25

10

100

Period of sec x is ______

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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

If the equation x2+2x-3=0 and x2+3x-k=0 have a common root then the non - zero value of k is

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1

3

2

4

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1

-1

0

None of these

Multiplicative inverse of "1" is

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0

-1

1

{0, 1}

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Associative law of multiplication

Commutative law of addition

Commutative law of multiplication

Associative law of addition

If (2, 3) and (2, 5) are end points of a diameter of a circle, then the centre of the circle is

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(2, 4)

(4, 8)

(0, 2)

(0, -2)

3x + 4 > 0 is

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equation

identity

inequality

none of these

If n is not natural number, then the expansion (1 + x)ⁿis valid for

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The sample space for tossing a coin twice is

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{H, T}

{HH, HT, TH, TT}

{H, T, HH}

{HH, HT, TT}

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