# IIT JEE / PMT Module Test 1 : Mathematics : Relation and Function

Normal type of MCQ with one correct option If R is a relation from a non-empty set a to a non-empty set B, then
R = A (B
R = A ( B
R = A × B
R ( A × B
Normal type of MCQ with one correct option Let R be the relation on N defined as x + R y if x + 2y = 8. the domain of R is
{2, 4, 8}
{2, 4, 6, 8}
{2, 4, 6}
{1, 2, 3, 4}
Normal type of MCQ with one correct option Which of the following is not an equivalence relation on I, the set of integers:
x R y ( x + y is an even integer
x R y ( x < y
x R y ( x ( y is an even integer
x R y ( x = y
Normal type of MCQ with one correct option If f : r ( R is defined as f (x) = x2 (3x + 4 for all x ( R, then f(1 (2) is equal to
{1, 2}
(1, 2)
[1, 2]
none of these
In this MCQ, there may be more than one option correct If y = |x.2|-|x+1|, then (A) for x< -2, y=3 (B) for x>3, y=3 (C) for 0 ( x ( 1, y = -2x+1. (D) for 1( x ( 2, y= -2x+1.
A,B
B
C,D
A,C & D
Comprehension A function f form a set X to Y is called onto. If for every y (Y there exists x(X such that f(x) = y. Unless the company is specified, a real function is onto if it takes all real values, otherwise it is called into function. The polynomial function a0xn + a1xn-1 + a2xn-2+an=0. Where a0( 0.
for all positive integers n.
for all even positive integers n.
for all odds positive integers n.
for all positive integer.
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0 0 0 Comprehension A function f form a set X to Y is called onto. If for every y (Y there exists x(X such that f(x) = y. Unless the company is specified, a real function is onto if it takes all real values, otherwise it is called into function. Which of the following is not true?
A one-one function from the set {a, b, c} to {(, (, (} is onto also.
An onto function from an infinite set to a finite set cannot be one-one
An onto function is always invertible
The function tanx and cotx are onto
Assertion(Reason A: The domain of a function y=f(x) will be all reals if for every real x there exists y. R: The range of a function y = f(x) will be all reals for every real y there exists a real x such that f(x) = y.
Both A and R are true and R is correct explanation of A
Both A and R are true and R is not correct explanation of A
A is true, R is false
A is false, R is true
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