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1
JEE Main 2020 (Online) 7th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
The area of the region, enclosed by the circle x2 + y2 = 2 which is not common to the region bounded by the parabola y2 = x and the straight line y = x, is:
A
$${1 \over 6}\left( {24\pi - 1} \right)$$
B
$${1 \over 3}\left( {12\pi - 1} \right)$$
C
$${1 \over 3}\left( {6\pi - 1} \right)$$
D
$${1 \over 6}\left( {12\pi - 1} \right)$$
2
JEE Main 2020 (Online) 7th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
If ƒ(a + b + 1 - x) = ƒ(x), for all x, where a and b are fixed positive real numbers, then

$${1 \over {a + b}}\int_a^b {x\left( {f(x) + f(x + 1)} \right)} dx$$ is equal to:
A
$$\int_{a - 1}^{b - 1} {f(x+1)dx} $$
B
$$\int_{a + 1}^{b + 1} {f(x + 1)dx} $$
C
$$\int_{a - 1}^{b - 1} {f(x)dx} $$
D
$$\int_{a + 1}^{b + 1} {f(x)dx} $$
3
JEE Main 2019 (Online) 12th April Evening Slot
MCQ (Single Correct Answer)
+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
4
JEE Main 2019 (Online) 12th April Evening Slot
MCQ (Single Correct Answer)
+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
$$-{1 \over 2}$$
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