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

A, B, C are mutually exclusive events such that $$P(A) = {{3x + 1} \over 3}$$, $$P(B) = {{1 - x} \over 4}$$ and $$P(C) = {{1 - 2x} \over 2}$$. Then the set of possible values of x are in

A
[0, 1]
B
$$\left[ {{1 \over 3},{1 \over 2}} \right]$$
C
$$\left[ {{1 \over 3},{2 \over 3}} \right]$$
D
$$\left[ {{1 \over 3},{{13} \over 3}} \right]$$
2
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that the determinant chosen is non-zero is

A
$${3 \over {16}}$$
B
$${3 \over 8}$$
C
$${1 \over 4}$$
D
$${5 \over 8}$$
3
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If $$(\cot {\alpha _1})(\cot {\alpha _2})\,......\,(\cot {\alpha _n}) = 1,0 < {\alpha _1},{\alpha _2},....\,{\alpha _n} < \pi /2$$, then the maximum value of $$(\cos {\alpha _1})(\cos {\alpha _2}).....(\cos {\alpha _n})$$ is given by

A
$${1 \over {{2^{n/2}}}}$$
B
$${1 \over {{2^n}}}$$
C
$${1 \over {2n}}$$
D
1
4
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If the algebraic sum of the distances from the points (2, 0), (0, 2) and (1, 1) to a variable straight line be zero, then the line passes through the fixed point

A
($$-$$1, 1)
B
(1, $$-$$1)
C
($$-$$1, $$-$$1)
D
(1, 1)
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12