1
WB JEE 2019
MCQ (Single Correct Answer)
+2
-0.5
Change Language
The graphs of the polynomial x2 $$-$$ 1 and cos x intersect
A
at exactly two points
B
at exactly 3 points
C
at least 4 but at finitely many points
D
at infinitely many points
2
WB JEE 2019
MCQ (Single Correct Answer)
+2
-0.5
Change Language
A point is in motion along a hyperbola $$y = {{10} \over x}$$ so that its abscissa x increases uniformly at a rate of 1 unit per second. Then, the rate of change of its ordinate when the point passes through (5, 2)
A
increases at the rate of $${1 \over 2}$$ unit per second
B
decreases at the rate of $${1 \over 2}$$ unit per second
C
decreases at the rate of $${2 \over 5}$$ unit per second
D
increases at the rate of $${2 \over 5}$$ unit per second
3
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
4
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
$${1 \over 2}(f + h)n = fh{m^2}$$
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