1
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
If the area (in sq. units) bounded by the parabola y2 = 4$$\lambda$$x and the line y = $$\lambda$$x, $$\lambda$$ > 0, is $${1 \over 9}$$ , then $$\lambda$$ is equal to :
A
$$4\sqrt 3$$
B
2$$\sqrt 6$$
C
48
D
24
2
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
A value of $$\alpha$$ such that
$$\int\limits_\alpha ^{\alpha + 1} {{{dx} \over {\left( {x + \alpha } \right)\left( {x + \alpha + 1} \right)}}} = {\log _e}\left( {{9 \over 8}} \right)$$ is :
A
2
B
- 2
C
$${1 \over 2}$$
D
$$-{1 \over 2}$$
3
JEE Main 2019 (Online) 12th April Morning Slot
+4
-1
If $$\int\limits_0^{{\pi \over 2}} {{{\cot x} \over {\cot x + \cos ecx}}} dx$$ = m($$\pi$$ + n), then m.n is equal to
A
- 1
B
1
C
$$- {1 \over 2}$$
D
$${1 \over 2}$$
4
JEE Main 2019 (Online) 12th April Morning Slot
+4
-1
If the area (in sq. units) of the region {(x, y) : y2 $$\le$$ 4x, x + y $$\le$$ 1, x $$\ge$$ 0, y $$\ge$$ 0} is a $$\sqrt 2$$ + b, then a – b is equal to :
A
$${8 \over 3}$$
B
$$- {2 \over 3}$$
C
6
D
$${{10} \over 3}$$
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