1
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
Change Language
Let $${I_n} = \int\limits_0^1 {{x^n}} {\tan ^{ - 1}}xdx$$. If $${a_n}{I_{n + 2}} + {b_n}{I_n} = {c_n}$$ for all n $$ \ge $$ 1, then
A
a1, a2, a3 are in GP
B
b1, b2, b3 are in AP
C
c1, c2, c3 are in HP
D
a1, a2, a3 are in AP
2
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
Change Language
Two particles A and B move from rest along a straight line with constant accelerations f and h, respectively. If A takes m seconds more than B and describes n units more than that of B acquiring the same speed, then
A
$$(f + h){m^2} = fhn$$
B
$$(f - h){m^2} = fhn$$
C
$$(h - f)n = {1 \over 2}fh{m^2}$$
D
$${1 \over 2}(f + h)n = fh{m^2}$$
3
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
Change Language
The area bounded by y = x + 1 and y = cos x and the X-axis, is
A
1 sq unit
B
$${3 \over 2}$$ sq unit
C
$${1 \over 4}$$ sq unit
D
$${1 \over 8}$$ sq unit
4
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
Change Language
Let x1, x2 be the roots of $${x^2} - 3x + a = 0$$ and x3, x4 be the roots of $${x^2} - 12x + b = 0$$. If $${x_1} < {x_2} < {x_3} < {x_4}$$ and $${x_1},{x_2},{x_3},{x_4}$$ are in GP, then ab equals
A
$${{24} \over 5}$$
B
64
C
16
D
8
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