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.

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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Brilliant Institute of Advance Studies, Chandigarh offers a complete test series for IIT JEE and PMT preparation for FREE at WiZiQ.com. This series constitutes 11 modules of each subjects +1 and +2 of all subjects Physics, Chemistry, Mathematics and Biology. The pattern of each test comprises all the types of objective questions of IIT JEE and AIPMT (MCQ with one or more correct option, Comprehension, Assertion-Reason, Match Matrix etc). This is the FREE Module test 1 of Mathematics; the covered chapter is Relation and Functions. Keep checking for Exclusive Paid Test series for IIT JEE and AIPMT from us at a very nominal cost at WiZiQ.com Happy Learning; all the best!

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