1
WB JEE 2017
MCQ (More than One Correct Answer)
+2
-0
Change Language
Let f be a non-constant continuous function for all x $$ \ge $$ 0. Let f satisfy the relation f(x) f(a $$-$$ x) = 1 for some a $$ \in $$ R+. Then, $$I = \int_0^a {{{dx} \over {1 + f(x)}}} $$ is equal to
A
a
B
$${a \over 4}$$
C
$${a \over 2}$$
D
f(a)
2
WB JEE 2017
MCQ (More than One Correct Answer)
+2
-0
Change Language
If the line ax + by + c = 0, ab $$ \ne $$ 0, is a tangent to the curve xy = 1 $$-$$ 2x, then
A
a > 0, b < 0
B
a > 0, b > 0
C
a < 0, b > 0
D
a < 0, b < 0
3
WB JEE 2017
MCQ (More than One Correct Answer)
+2
-0
Change Language
Two particles move in the same straight line starting at the same moment from the same point in the same direction. The first moves with constant velocity u and the second starts from rest with constant acceleration f. Then,
A
they will be at the greatest distance at the end of time $${u \over {2f}}$$ from the start
B
they will be at the greatest distance at the end of time $${u \over f}$$ from the start
C
their greatest distance is $${{{u^2}} \over {2f}}$$
D
their greatest distance is $${{{u^2}} \over f}$$
4
WB JEE 2017
MCQ (More than One Correct Answer)
+2
-0
Change Language
The complex number z satisfying the equation | z $$-$$ 1 | = | z + 1 | = 1 is
A
0
B
1 + i
C
$$-$$ 1 + i
D
1 $$-$$ i
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