1
JEE Main 2020 (Online) 4th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$f\left( x \right) = \int {{{\sqrt x } \over {{{\left( {1 + x} \right)}^2}}}dx\left( {x \ge 0} \right)} $$. Then f(3) – f(1) is eqaul to :
A
$$ - {\pi \over {12}} + {1 \over 2} + {{\sqrt 3 } \over 4}$$
B
$$ {\pi \over {12}} + {1 \over 2} - {{\sqrt 3 } \over 4}$$
C
$$ - {\pi \over 6} + {1 \over 2} + {{\sqrt 3 } \over 4}$$
D
$${\pi \over 6} + {1 \over 2} - {{\sqrt 3 } \over 4}$$
2
JEE Main 2020 (Online) 4th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let y = y(x) be the solution of the differential equation,
xy'- y = x2(xcosx + sinx), x > 0. if y ($$\pi $$) = $$\pi $$ then
$$y''\left( {{\pi \over 2}} \right) + y\left( {{\pi \over 2}} \right)$$ is equal to :
A
$$1 + {\pi \over 2}$$
B
$$2 + {\pi \over 2} + {{{\pi ^2}} \over 4}$$
C
$$2 + {\pi \over 2}$$
D
$$1 + {\pi \over 2} + {{{\pi ^2}} \over 4}$$
3
JEE Main 2020 (Online) 4th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let [t] denote the greatest integer $$ \le $$ t. Then the equation in x,
[x]2 + 2[x+2] - 7 = 0 has :
A
no integral solution.
B
exactly two solutions.
C
exactly four integral solutions.
D
infinitely many solutions.
4
JEE Main 2020 (Online) 4th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A Tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and reaches height $${h \over 2}$$. The velocity versus height of the ball during its motion may be represented graphically by :
(graph are drawn schematically and on not to scale)
A
JEE Main 2020 (Online) 4th September Morning Slot Physics - Motion in a Straight Line Question 84 English Option 1
B
JEE Main 2020 (Online) 4th September Morning Slot Physics - Motion in a Straight Line Question 84 English Option 2
C
JEE Main 2020 (Online) 4th September Morning Slot Physics - Motion in a Straight Line Question 84 English Option 3
D
JEE Main 2020 (Online) 4th September Morning Slot Physics - Motion in a Straight Line Question 84 English Option 4
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