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

If $$p = \left[ {\matrix{ 1 & \alpha & 3 \cr 1 & 3 & 3 \cr 2 & 4 & 4 \cr } } \right]$$ is the adjoint of the $$3 \times 3$$ matrix A and det A = 4, then $$\alpha$$ is equal to

A
4
B
11
C
5
D
0
2
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If $$A = \left( {\matrix{ 1 & 1 \cr 0 & i \cr } } \right)$$ and $${A^{2018}} = \left( {\matrix{ a & b \cr c & d \cr } } \right)$$, then $$(a + d)$$ equals

A
1 + i
B
0
C
2
D
2018
3
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Let S, T, U be three non-void sets and f : S $$\to$$ T, g : T $$\to$$ U and composed mapping g . f : S $$\to$$ U be defined. Let g . f be injective mapping. Then

A
f, g both are injective.
B
neither f nor g is injective.
C
f is obviously injective.
D
g is obviously injective.
4
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
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