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1
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
The area (in sq. units) of the region
A = {(x, y) : |x| + |y| $$ \le $$ 1, 2y2 $$ \ge $$ |x|}
A
$${1 \over 6}$$
B
$${5 \over 6}$$
C
$${1 \over 3}$$
D
$${7 \over 6}$$
2
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
If I1 = $$\int\limits_0^1 {{{\left( {1 - {x^{50}}} \right)}^{100}}} dx$$ and
I2 = $$\int\limits_0^1 {{{\left( {1 - {x^{50}}} \right)}^{101}}} dx$$ such
that I2 = $$\alpha $$I1 then $$\alpha $$ equals to :
A
$${{5051} \over {5050}}$$
B
$${{5050} \over {5051}}$$
C
$${{5050} \over {5049}}$$
D
$${{5049} \over {5050}}$$
3
JEE Main 2020 (Online) 5th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
The area (in sq. units) of the region
A = {(x, y) : (x – 1)[x] $$ \le $$ y $$ \le $$ 2$$\sqrt x $$, 0 $$ \le $$ x $$ \le $$ 2}, where [t]
denotes the greatest integer function, is :
A
$${8 \over 3}\sqrt 2 - 1$$
B
$${4 \over 3}\sqrt 2 + 1$$
C
$${8 \over 3}\sqrt 2 - {1 \over 2}$$
D
$${4 \over 3}\sqrt 2 - {1 \over 2}$$
4
JEE Main 2020 (Online) 5th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
The value of $$\int\limits_{{{ - \pi } \over 2}}^{{\pi \over 2}} {{1 \over {1 + {e^{\sin x}}}}dx} $$ is:
A
$$\pi $$
B
$${{3\pi \over 2}}$$
C
$${{\pi \over 2}}$$
D
$${{\pi \over 4}}$$
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