1
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
A rifleman is firing at a distant target and has only 10% chance of hitting it. The least number of rounds he must fire to have more than 50% chance of hitting it at least once, is
A
5
B
7
C
9
D
11
2
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
$$\cos (2x + 7) = a(2 - \sin x)$$ can have a real solution for
A
all real values of a
B
$$a \in [2,6]$$
C
$$a \in ( - \infty ,2)\backslash \{ 0\} $$
D
$$a \in (0,\infty )$$
3
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The differential equation of the family of curves y = ex (A cos x + B sin x) where, A, B are arbitrary constants is
A
$${{{d^2}y} \over {d{x^2}}} - 9x = 13$$
B
$${{{d^2}y} \over {d{x^2}}} - 2{{dy} \over {dx}} + 2y = 0$$
C
$${{{d^2}y} \over {d{x^2}}} + 3y = 4$$
D
$${\left( {{{dy} \over {dx}}} \right)^2} + {{dy} \over {dx}} - xy = 0$$
4
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The equation $$r\,\cos \left( {\theta - {\pi \over 3}} \right) = 2$$ represents
A
a circle
B
a parabola
C
an ellipse
D
a straight line
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