1
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
If x3dy + xy dx = x2dy + 2y dx; y(2) = e and
x > 1, then y(4) is equal to :
A
$${{\sqrt e } \over 2}$$
B
$${1 \over 2} + \sqrt e $$
C
$${3 \over 2} + \sqrt e $$
D
$${3 \over 2}\sqrt e $$
2
JEE Main 2020 (Online) 3rd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
The area (in sq. units) of the region

{ (x, y) : 0 $$ \le $$ y $$ \le $$ x2 + 1, 0 $$ \le $$ y $$ \le $$ x + 1,
$${1 \over 2}$$ $$ \le $$ x $$ \le $$ 2 } is :
A
$${{79} \over {16}}$$
B
$${{79} \over {24}}$$
C
$${{23} \over {6}}$$
D
$${{23} \over {16}}$$
3
JEE Main 2020 (Online) 3rd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
$$\int\limits_{ - \pi }^\pi {\left| {\pi - \left| x \right|} \right|dx} $$ is equal to :
A
$${\pi ^2}$$
B
2$${\pi ^2}$$
C
$$\sqrt 2 {\pi ^2}$$
D
$${{{\pi ^2}} \over 2}$$
4
JEE Main 2020 (Online) 2nd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Consider a region R = {(x, y) $$ \in $$ R : x2 $$ \le $$ y $$ \le $$ 2x}. if a line y = $$\alpha $$ divides the area of region R into two equal parts, then which of the following is true?
A
3$$\alpha $$2 - 8$$\alpha $$ + 8 = 0
B
$$\alpha $$3 - 6$$\alpha $$3/2 - 16 = 0
C
3$$\alpha $$2 - 8$$\alpha $$3/2 + 8 = 0
D
$$\alpha $$3 - 6$$\alpha $$2 + 16 = 0
JEE Main Subjects
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedWB JEEBITSAT
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN