MEDIUM
RRC Group D CBT
IMPORTANT
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In rule method, the null set is represented by

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Important Questions on Set Theory

HARD
RRC Group D CBT
IMPORTANT
If f(x)=(1-x)(1+x) then f(f(cos x)) equals
HARD
RRC Group D CBT
IMPORTANT
If the set A has p elements, B has q elements then the number of elements in A×B is
HARD
RRC Group D CBT
IMPORTANT
Let M be the set of all 2×2 matrices with entries from the set of real numbers R. Then the function f:MR defined by f(A)=|A| for every AM is
HARD
RRC Group D CBT
IMPORTANT
In the set of all integers Z, which of the following relation R is not an equivalent relation?
EASY
RRC Group D CBT
IMPORTANT
The relation R={(1, 1), (2, 2), (3, 3)} on the set {1, 2, 3} is
HARD
RRC Group D CBT
IMPORTANT
If R denotes the set of all of the real numbers then the function f: RR defined by f(x)=|x| is