ECAT Mathematics Chapter 4 Functions & Groups

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

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

Function is a special type of

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

Which of the following is surjective

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

Addition is not operation on

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

The graph of a constant line is

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

Identity element, if it exists, is

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

A semi-group having an identity is called a

• groupoid A
• non-commutative B
• abelian C
• monoid 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

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

The function denoted by 1/f called the

• Reciprocal function A
• Inverse function B
• Constant function C
• Reverse function 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 of cartesian product A x B consists of

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

ax+by+c = 0, represent a

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

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

Which of the following diagrams represent into function?

• 
  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

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

Negation of a given number is an example of

• Binary operation A
• group B
• unary operation C
• function D

N is closed with respect to ordinary

• addition A
• multiplication B
• addition and multiplication C
• division 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

Extraction of square root of a given number is a

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

If no two elements of ordered pair of a functions from A into B are equal, then it is called.

• Surjective A
• Injuctive B
• Bijective C
• Onto D