ECAT Mathematics Chapter 4 Functions & Groups Online Test

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

• domain A
• range B
• ordered paris C
• relation D

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

• multiplication A
• addition B
• subtraction C
• division D

The graph of a constant line is

• vertical line A
• parabola B
• circle C
• horizontal line D

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

• surjective A
• injuctive B
• bijective C
• into D

• similar images A
• distinct images B
• similar range C
• option a and c D

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

• into function A
• onto function B
• None of these C
• surjective D

If range of a function f is B, then the function is

• surjective A
• injuctive B
• bijective C
• into D

If the number of elements in set A is n, and in set B is m, then the number of elements in AxB will

• n^m A
• mⁿ B
• m x n C
• m + n D

The inverse of a line is

• inverse A
• Line B
• quadratic C
• Circle D

Identity element, if it exists, is

• inverse A
• unique B
• commutative C
• associative D

• 
  A
• 
  B
• 
  C
• 
  D

Function is a special type of

• relation A
• ordered pairs B
• cartesian product C
• sets D

Function is a special type of

• relation A
• ordered pairs B
• Cartesian product C
• Set D

Which of the following is surjective

• 
  A
• 
  B
• 
  C
• 
  D

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

• a=b and c =d A
• a = d and b = c B
• a = c and b = d C
• a - b = c -d D

• bijective function A
• into function B
• onto function C
• surjective D

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

• A A
• B B
• D C
• r D

There will be no inverse if the function is

• one -to - one A
• One to many B
• onto C
• into D

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

• Into function A
• on to function B
• None of these C
• Surjective D

Which of the following diagrams represent into function?

• 
  A
• 
  B
• 
  C
• 
  D

Extraction of square root of a given number is a

• unary operation A
• binary operation B
• group C
• inverse function D

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

• A A
• B B
• ∅ C
• r D

The function denoted by 1/f called the

• Reciprocal function A
• Inverse function B
• Constant function C
• Reverse function D

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

• surjective A
• injuctive B
• bijective C
• on to D

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

• Domain A
• range B
• function C
• relation D

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

• Function A
• Domain B
• Range C
• Binary relation D

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

ax+by+c = 0 , represents a

• Circle A
• Parabola B
• Straight line C
• Quadratic circle D

A function f from A to B can be written as

• 
  A
• 
  B
• 
  C
• 
  D

The extraction of a cube root of a given number is a

• Binary operation A
• Unary operation B
• group C
• multiplicative inverse D