1
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
A student appears for tests I, II and III. The student is successful if he passes in tests I, II or I, III. The probabilities of the student passing in tests I, II and III are respectively p, q and 1/2. If the probability of the student to be successful is 1/2. Then
A
p (1 + q) = 1
B
q (1 + p) = 1
C
pq = 1
D
$${1 \over p} + {1 \over q} = 1$$
2
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If sin6$$\theta$$ + sin4$$\theta$$ + sin2$$\theta$$ = 0, then general value of $$\theta$$ is
A
$${{n\pi } \over 4},n\pi \pm {\pi \over 3}$$
B
$${{n\pi } \over 4},n\pi \pm {\pi \over 6}$$
C
$${{n\pi } \over 4},2n\pi \pm {\pi \over 3}$$
D
$${{n\pi } \over 4},2n\pi \pm {\pi \over 6}$$
3
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If $$0 \le A \le {\pi \over 4}$$, then $${\tan ^{ - 1}}\left( {{1 \over 2}\tan 2A} \right) + {\tan ^{ - 1}}(\cot A) + {\tan ^{ - 1}}({\cot ^3}A)$$
A
$${\pi \over 4}$$
B
$$\pi$$
C
0
D
$${\pi \over 2}$$
4
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Without changing the direction of the axes, the origin is transferred to the point (2, 3). Then the equation x2 + y2 $$-$$ 4x $$-$$ 6y + 9 = 0 changes to
A
x2 + y2 + 4 = 0
B
x2 + y2 = 4
C
x2 + y2 $$-$$ 8x $$-$$ 12y + 48 = 0
D
x2 + y2 = 9
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