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Chapter 1

Total questions: 45

Worksheet time: 24mins

Name
Class
Date
1.

When will A x B be equal to BxA?

a)

A>B

b)

A=B

c)

A<B

d)

not possible

2.

The word ______ is to mean

any quantity varying from point to point of a curve.

a)

Curve

b)

Cartesian product

c)

Relation

d)

Function

3.

______ is the set of all points which we call as the

cartesian plane.

a)

A X A

b)

N X N

c)

R X R

d)

Z X Z

4.

Cartesian product of two non-empty sets provides

_______ in two dimensions and cartesian product of three

non-empty sets provide ______ in three dimensions.

a)

Object, shape

b)

a shape, an object

c)

curve, line

d)

line, curve

5.

Range of R

a)

Subset of B

b)

Subset of A

c)

A

d)

B

6.

Domain of R

a)

Subset of B

b)

Subset of A

c)

A

d)

B

7.

Co Domain of R

a)

Subset of A

b)

Subset of B

c)

A

d)

B

8.

If n(A) = p , n(B) =q ,

then the total number of

relations that exist from A

to B is _____

a)

2pq2^{pq}

b)

2pq2^pq

c)

pqpq

d)

pqp^q

9.

A relation which contains no element is called a (a)  

10.

Every function is a relation.

a)

True

b)

False

c)

may be

d)

50 - 50

11.

Functions are _____ of relations.

a)

Power set

b)

subsets

c)

super set

d)

element

12.

_________ is a visual representation of a relation.

a)

Arrow Diagram

b)

Graph

c)

Table

d)

Roster Method

13.

If A and B are finite sets such that n(A) = p , n(B) = q then the total number of

functions that exist from A to B is

a)

pq\frac{p}{q}

b)

pqp^q

c)

qpq^p

d)

2pq2^{pq}

14.

Let f(x)=1x2 −5x +6f\left(x\right)=\frac{1}{x^{2\ }-5x\ +6} , then domain of f =

a)

R

b)

R - {2}

c)

R-{2, 3}

d)

N

15.

All the elements of a function should have images

a)

True

b)

False

c)

not known

16.

Every function can be represented by a _______ in a graph.

a)

Curve

b)

point

c)

arrow diagram

17.

Every curve represents function.

a)

True

b)

False

18.

A curve drawn in a graph represents a function, if every vertical line intersects the

curve in at most _____ point(s)

a)

one

b)

no

c)

two

19.

If f : A--> B is an onto function then, the range of f is ____

a)

A

b)

B

c)

A X B

20.

During winter season customers usually do not prefer buying air conditioner. Here

air conditioner is not chosen by any customer. This is an example of ____ function

a)

into

b)

onto

c)

one - one

d)

bijection

21.

______ function is widely used in the study of secret codes called cryptography

a)

one - one

b)

onto

c)

bijection

d)

into

22.

________ test is used to identify one - one function.

a)

Vertical line

b)

Horizontal line

c)

no test

23.

The pre-images of 29, 53 in f : A --> B be defined by f (x) = 3x +2 are

a)

9 and 10

b)

12 and 17

c)

9 and 17

d)

10 and 12

24.

If range of f is a singleton set , then f is a ------ function.

a)

identity

b)

constant

c)

zero

d)

real valued

25.

All constant functions are bijections.

a)

True

b)

False

26.

If the range of f is a subset of

the set of all real numbers, then f is a _____ function

a)

real - valued

b)

identity

c)

one - one

d)

onto

27.

If f is a bijection from A to B, then

a)

n(A) < n(B)

b)

n(A) > n(B)

c)

n(A) = n(B) = 0

d)

n(A) = n(B)

28.

The Composition

g o f (x) exists only

when range of f is a

subset of domain of g.

a)

True

b)

False

29.

Geometrically, _______ represents a straight line in the graph.

a)

Cubic

b)

quadratic

c)

linear

30.

Identity function is a straight line passes through _______

a)

x - axis

b)

origin

c)

y- axis

31.

Additive inverse

function

a)

f(x) = -x

b)

f(x) = x

c)

f(x) = 1/x

32.

Name the type of function.

a)

Modulus function

b)

Quadratic function

c)

cubic function

33.

The equations of motion of a particle travelling under the influence of gravity is a

_________ function of time.

a)

Linear

b)

Cubic

c)

one - one

d)

quadratic

34.

This graph represents ______ function.

a)

Cubic

b)

linear

c)

quadratic

d)

reciprocal

35.

The domain of reciprocal function is (a)  

36.

The sum to nth term of any A.P. is of the form _______ where p, q, r are some

constants.

a)

pn3+ qn2 + rn

b)

(p/q)n + r

c)

pn2+ qn + r

d)

pn+r

37.

What is the sum of first n even natural numbers?

a)

n2

b)

n(n+1)

c)

n2+ 1

d)

n(n2+1)

38.

If the following are in G.P., then ______, 2 2\sqrt[]{2} ,4,...

a)

1

b)

2\sqrt[]{2}

c)

2

d)

0

39.

If a, b, c, … are in G.P. then 2a, 2b, 2c, …. are in ______

a)

Both

b)

A.P

c)

G.P.

40.

When r = 1 , the formula for finding sum to n terms of a G.P. is ______.

a)

n+a

b)

na

c)

n/a

d)

n-a

41.

For what values of r, does the formula for infinite G.P. valid?

a)

r < 1

b)

r > 1

c)

r≤1r\le1

d)

r≥1r\ge1

42.

The value of r, such that 1 + r + r2 + r3 ... = 34\frac{3}{4} is ___.

a)

13\frac{1}{3}

b)

−13\frac{-1}{3}

c)

3

d)

-3

43.

_____ and ____ are least pair of Amicable Numbers

a)

328,428

b)

420, 520

c)

225, 325

d)

220 , 284

44.

The sum of first n natural numbers are also called ______

a)

Triangular numbers

b)

Pyramidal numbers

c)

Amicable numbers

d)

friendly numbers

45.

How many rectangles are there in a standard chess board?

a)

204

b)

1296

c)

64

d)

164

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