1
JEE Main 2019 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If y = y(x) is the solution of the differential equation,

x$$dy \over dx$$ + 2y = x2, satisfying y(1) = 1, then y($$1\over2$$) is equal to :
A
$$ {{7} \over {64}}$$
B
$$ {{49} \over {16}}$$
C
$$ {{1} \over {4}}$$
D
$$ {{13} \over {16}}$$
2
JEE Main 2019 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The maximum volume (in cu.m) of the right circular cone having slant height 3 m is :
A
2$$\sqrt3$$$$\pi $$
B
3$$\sqrt3$$$$\pi $$
C
6$$\pi $$
D
$${4 \over 3}\pi $$
3
JEE Main 2018 (Online) 16th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The differential equation representing the family of ellipse having foci eith on the x-axis or on the $$y$$-axis, center at the origin and passing through the point (0, 3) is :
A
xy y'' + x (y')2 $$-$$ y y' = 0
B
x + y y'' = 0
C
xy y'+ y2 $$-$$ 9 = 0
D
xy y' $$-$$ y2 + 9 = 0
4
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
If the curves y2 = 6x, 9x2 + by2 = 16 intersect each other at right angles, then the value of b is :
A
$${9 \over 2}$$
B
6
C
$${7 \over 2}$$
D
4
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