Question # 1

The first three terms in the expansion of (1 - x)^-2are

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 - 2x +3x²

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all

Number of conics is

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1

3

2

4

24 can be written as a product of

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Odd factors

Even factors

Whole factors

Prime factors

cot(3π/2 -θ)=______;

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tanθ

cotθ

-tanθ

-cotθ

Two quadratic equation in which xy term is missing and the coefficients of x²and y²are equal, give a linear equation by ______

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Addition

Subtraction

Multiplication

Division

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

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Associative property

Identity property

Commutative property

Closure property w.r.t multiplication

The equation of a line parallel to the tangent to the circle x²+ y²= 16 at the point (2, 3) and passing thro' the origin is

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2x + 3y = 0

2x - 3y = 0

3x + 2y = 0

3x - 2y = 0

a.a^-1= a^-1.a = 1 is a

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Commutative law of multiplication

Multiplication identity

Associative law of multiplication

Multiplication inverse

The set Q

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Forms a group under addition

Does not form a group

Contains no additive indentity

Contains no additive inverse

If sinαand cosαare the roots of the equation px²+ qx + r =0, then

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p²- q²+ 2pr = 0

(p + r)²= q²- r²

p²+ q²- 2pr = 0

(p - r)²= q²+ r²

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

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8

4

64

None of these

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None of these

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

The line y =mx +1 is tangent to the parabola y2 =4x if

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m=1

m=2

m=3

m=4

The solution set of x < 4 is

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-∞< x < 4

-∞> x > 4

-∞< x < 2

-∞> x > 2

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If distance between (a,2) and (0,0) is 2 then a = _______

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0

2

4

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none of these

The sixth term of the sequence 1,3,12,60....is

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1500

72

2160

2520

A,G,H are in

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A.P

G.P

H.P

None of these

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The set which has no proper subset is

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{0}

{}

{∅}

None of these

i⁹ =

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i²

-1

1

i

The sum of co-efficient in (1+x-3x²)⁴¹⁶³is

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0

1

-1

None

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

3x + 4 > 0 is

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equation

inequality

identity

none of these

The sum of first twenty odd integers in A.P is

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400

397

404

408

An unbiased die is thrown. Then the probability of getting a prime is

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1/2

2/3

3/4

None of these

Range of cosec x is ______

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{-1, 1}

R

Negative real numbers

R - { x | - 1 < x < 1}

An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)

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Implicit equation

Differential equation

General equation

None of these

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