ECAT Mathematics Chapter 4 Functions & Groups Online Test

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

• A A
• B B
• ∅ C
• r 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

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

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

ax+by+c = 0 , represents a

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

There will be no inverse if the function is

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Addition is not operation on

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

The group of a constant line is

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

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

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

The graph of a constant line is

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

There will be no inverse if the function is

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

The set of cartesian product A x B consists of

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

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

• function A
• domain B
• range C
• binary relation D

ax+by+c = 0, represent a

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

The inverse of a line is

• inverse A
• Line B
• quadratic C
• 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

Function is a special type of

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

• bijective function A
• into function B
• onto function 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 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 extraction of a cube root of a given number is a

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

Which of the following notation defines AxB

• 
  A
• 
  B
• 
  C
• 
  D