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12th West Bengal Board
IMPORTANT
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The number of bijective functions from a set A onto itself is nn when A=n.

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Important Questions on Relations and Functions

MEDIUM
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 1 - Relations and Functions>EXERCISE>Q 2
If f:A→B and X⊆A, then f-1(f(X))=X
EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 1 - Relations and Functions>EXERCISE>Q 2
Every function is a relation.
MEDIUM
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 1 - Relations and Functions>EXERCISE>Q 2
If f:A→B is a bijective map and g:B→A is the inverse of f, then g∘f=f∘g=identity function.
HARD
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 1 - Relations and Functions>EXERCISE>Q 2
If f:A→B and Y⊆B, then ff-1(Y)=Y
MEDIUM
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 1 - Relations and Functions>EXERCISE>Q 3
Let f={(1,p),(2,q),(3,s),(4,x)} be a relation from the set A={1,2,3,4} into the set B=p,q,r,s,t. Then the value of x(from B ) for which f turns out to be an injective function from A into B is
HARD
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 1 - Relations and Functions>EXERCISE>Q 3
A function f:A→B is invertible if and only if f is
HARD
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 1 - Relations and Functions>EXERCISE>Q 3
A function f:A→B is right invertible if and only if f is
MEDIUM
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 1 - Relations and Functions>EXERCISE>Q 3
If A={s,r,t} and B={4,6,7} then p={(s,4),(r,6),(t,4)} is a