Mathematics ECAT Pre Engineering Chapter 4 Functions and Groups Online Test

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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 of second elements of the ordered pairs forming a relation called a

• Domain A
• Range B
• Function C
• Relation D

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

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

• onto function A
• into function B
• Constant C
• one-one function D

Which of the following diagrams represent into function?

• 
  A
• 
  B
• 
  C
• 
  D

ax+by+c = 0, represent a

• circle A
• parabola B
• straight line C
• quadratic circle D

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

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

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

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

Function is a special type of

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

The group of a constant line is

• Vertical line A
• Parabola B
• Circle C
• Horizontal line 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

Function is a special type of

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

Identity element, if it exists, is

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

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

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

the function y = mx+c is, called linear function, because

• it has only two variables A
• it has one varible B
• its graphs is straight line C
• its graphs is circle D

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

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

The net of cartesian product AxB consists of

• domain A
• range B
• binary relation C
• ordered pair D

Which of the following diagrams represent bijective function?

• 
  A
• 
  B
• 
  C
• 
  D

If no two elements of ordred pair of a function from A into B are equal, then it is called

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

The inverse of a line is

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

Which of the following is surjective

• 
  A
• 
  B
• 
  C
• 
  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

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

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

ax+by+c = 0 , represents a

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

There will be no inverse if the function is

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

Addition is not operation on

• Natural numbers A
• Even numbers B
• odd numbers C
• set of integers D