ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 4 (Functions and Groups)

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
• on to function B
• None of these C
• Surjective 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

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 group of a constant line is

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

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

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

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

• surjective A
• injuctive B
• bijective C
• into 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 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

Extraction of square root of a given number is a

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

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

• A A
• B B
• A and B C
• neither A nor B D

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

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

Function is a special type of

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

Which of the following notation defines AxB

• 
  A
• 
  B
• 
  C
• 
  D

The function denoted by 1/f called the

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

• similar images A
• distinct images B
• similar range C
• option a and c 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 identity function is

• surjective A
• injuctive B
• bijective C
• into 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

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

Identity element, if it exists, is

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

arb mean

• a is related to b A
• b is related to a B
• a is reciprocal of b C
• a is not related to b D

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

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

Which of the following diagrams represent into function?

• 
  A
• 
  B
• 
  C
• 
  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

There will be no inverse if the function is

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

• 
  A
• 
  B
• 
  C
• 
  D