Question # 1

Every whole number is

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A real number

An irrational number

A prime number

A negative integer

The set {-1,1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

What is the number of elements of the power set of {0, 1}

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1

2

3

4

The constant distance of all points of the circle from its centre is called the

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radius of the circle

secant of the circle

chord of the circle

diameter of the circle

For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0

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k=0

k=0 or 26

k = 26

k=-13

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a constant function

linear function

quadratic funtion

none of these

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1

0

5

2

The roots of the equation will be irrational if b²- 4ac is

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Positive and perfect square

Positive but not a perfect square

Negative

Zero

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a

2a

3a

4a

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Domain of 1+cot2θ=csc2θ is

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[0,π]

R-{x/x=nπ,n∈ z}

(-∞,+∞)

[-1,1]

The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by

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2, -3, 4

6, -4, -3

6, -4, 3

3, -2, 1.5

If the 4th term in the expansion of (px + x^-1)^mis 2.5 for all x∈ R, then

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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

cos (α-β) = cosαcosβ+ sinαsinβis true for all

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α>β> 0

α>β

β>α

None of these

If a polynomial p(x) is divided by x-c, then the remainder is

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p(x)

x-c

c

P(c)

If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

None of these

A rule that assigns to each elements x in X a unique element y in Y is called a ____________

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domain

range

function

none of these

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K/6

2K

3K

6K

The system of measurement in which the angle is measured in degrees, minutes and seconds is called the

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circular system

CGS system

sexagesimal system

none of these

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

(n + 2) (n + 1) n= ______

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Closure law of addition

Associative law of addition

Additive inverse

Additive identity

A matrix in which the number of rows is not equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

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1-1 and onto

Bijective

1-1 and into

None of these

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none of these

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

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0

1

A quadratic equation has two

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roots

degree

variables

constants

The number of subsets of a set having three elements is

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4

6

8

none of these

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

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