1
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

For the mapping $$f:R - \{ 1\} \to R - \{ 2\} $$, given by $$f(x) = {{2x} \over {x - 1}}$$, which of the following is correct?

A
f is one-one but not onto
B
f is onto but not one-one
C
f is neither one-one nor onto
D
f is both one-one and onto
2
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let A, B, C be three non-void subsets of set S. Let (A $$\cap$$ C) $$\cup$$ (B $$\cap$$ C') = $$\phi$$ where C' denote the complement of set C in S. Then
A
A $$\cap$$ B = $$\phi$$
B
A $$\cap$$ B $$\ne$$ $$\phi$$
C
A $$\cap$$ C = A
D
A $$\cup$$ C = A
3
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let R be the real line. Let the relations S and T or R be defined by

$$S = \{ (x,y):y = x + 1,0 < x < 2\} ,T = \{ (x,y):x - y$$ is an integer}. Then
A
both S and T are equivalence relations on R
B
T is an equivalence on R but S is not
C
neither S nor T is an equivalence relation on R
D
S is an equivalence relation on R but T is not
4
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let the relation p be defined on R by a p b holds if and only if a $$ - $$ b is zero or irrational, then
A
p is equivalence relation
B
p is reflexive and symmetric but is not transitive
C
p is reflexive and transitive but is not symmetric
D
p is reflexive only
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