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If R a relation from a finite set A having m elements to a finite set B having n elements, then the number of relations from A to B is

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Important Questions on Sets, Relations and Functions

EASY
MHT-CET
IMPORTANT
MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 43
If R=x, y∣x, y∈Z, x2+y2≤4 is a relation in Z, then domain of R is
EASY
MHT-CET
IMPORTANT
MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 44
The relation "congruence modulo m" is
EASY
MHT-CET
IMPORTANT
MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 45
Which one of the following relations on R is an equivalence relation?
EASY
MHT-CET
IMPORTANT
MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 46
Let R be an equivalence relation on a finite set A having n elements. Then the number of ordered pairs in R is
EASY
MHT-CET
IMPORTANT
MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 47
Let R be a relation on a set A such that R=R-1, then R is
EASY
MHT-CET
IMPORTANT
MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 48
The relation R defined in N as aRb⇔b is divisible by a is
EASY
MHT-CET
IMPORTANT
MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 49
The relation "is subset of" on the power set PA of a set A is
HARD
MHT-CET
IMPORTANT
MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 50
Let P=x, y∣x2+y2=1, x, y∈R. Then P is