Question # 1

The group of a constant line is

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Vertical line

Parabola

Circle

Horizontal line

Identity element, if it exists, is

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inverse

unique

commutative

associative

If A is non-empty set, any subset of AxA is called a relation in a

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A

B

D

r

Which of the following is surjective

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If no two elements of ordered pairs of a function from A onto B are the same, then it is called

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surjective

injuctive

bijective

on to

The set {E,0}, is closed under (ordinary)

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multiplication

addition

subtraction

division

If A is non-empty set, any subset of A x A is called a relation in

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A

B

∅

r

Such a function which is (1 -1) is called

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surjective

injuctive

bijective

into

(a,b) = (c,d) if and only if

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a=b and c =d

a = d and b = c

a = c and b = d

a - b = c -d

A function from A to B is called on-to function, if its range is

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A

B

A and B

neither A nor B

Let A and B be two non-empty sets, then any subset of the cartesian product A x B called a

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Function

Domain

Range

Binary relation

Function is a special type of

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relation

ordered pairs

Cartesian product

Set

A semi-group having an identity is called a

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groupoid

non-commutative

abelian

monoid

Which of the following represent injuctive function

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The set of first elements of the ordered pairs forming the relation is called is

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Domain

Range

Ordered paris

Relation

A function∫ will have an inverse function if and only if it is a

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onto function

into function

Constant

one-one function

The inverse of a line is

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inverse

Line

quadratic

Circle

There will be no inverse if the function is

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one -to - one

One to many

onto

into

Extraction of square root of a given number is a

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unary operation

binary operation

group

inverse function

The set of second elements of the ordered pairs forming a relation is called a

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Domain

range

function

relation

The set of first elements of the ordered pairs forming the relation is called its

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domain

range

ordered paris

relation

A function f from A to B can be written as

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Addition is not operation on

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Natural numbers

Even numbers

odd numbers

set of integers

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ax+by+c = 0, represent a

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circle

parabola

straight line

quadratic circle

The net of cartesian product AxB consists of

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domain

range

binary relation

ordered pair

A relation a into B in which Domain is not equal to a, is called.

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Into function

on to function

None of these

Surjective

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similar images

distinct images

similar range

option a and c

A relation A into B in which Domain is not equal to A, is called

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into function

onto function

None of these

surjective

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Mathematics ECAT Pre Engineering Chapter 4 Functions and Groups Online Test MCQs With Answers

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