ECAT Pre General Science Mathematics Chapter 4 Functions & Groups Online Test

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

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

The net of cartesian product AxB consists of

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

ax+by+c = 0 , represents a

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

• injuctive as well as surjective A
• both onto and into B
• one - one and into C
• only (1 - 1) D

Function is a special type of

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

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

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

The graph of a constant line is

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

Which of the following diagrams represent bijective function?

• 
  A
• 
  B
• 
  C
• 
  D

Addition is not operation on

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

The group of a constant line is

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

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

• Surjective A
• Injuctive B
• Bijective C
• on to D

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

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

The inverse of a line is

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

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

The set of cartesian product A x B consists of

• Domain A
• Range B
• Binary relation C
• Ordered pair D

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

• Domain A
• Range B
• Ordered paris C
• Relation 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 range of a function f is B, then the function is

• surjective A
• injuctive B
• bijective C
• into 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

ax+by+c = 0, represent a

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

Function is a special type of

• relation A
• ordered pairs B
• cartesian product C
• sets 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 A is non-empty set, any subset of AxA is called a relation in a

• A A
• B B
• D C
• r D

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