1
JEE Main 2020 (Online) 7th January Evening Slot
+4
-1
If 3x + 4y = 12$$\sqrt 2$$ is a tangent to the ellipse
$${{{x^2}} \over {{a^2}}} + {{{y^2}} \over 9} = 1$$ for some $$a$$ $$\in$$ R, then the distance between the foci of the ellipse is :
A
$$2\sqrt 5$$
B
$$2\sqrt 7$$
C
4
D
$$2\sqrt 2$$
2
JEE Main 2020 (Online) 7th January Morning Slot
+4
-1
If y = mx + 4 is a tangent to both the parabolas, y2 = 4x and x2 = 2by, then b is equal to:
A
-128
B
128
C
-64
D
-32
3
JEE Main 2020 (Online) 7th January Morning Slot
+4
-1
If the distance between the foci of an ellipse is 6 and the distance between its directrices is 12, then the length of its latus rectum is:
A
$$\sqrt 3$$
B
$$3\sqrt 2$$
C
$${3 \over {\sqrt 2 }}$$
D
$$2\sqrt 3$$
4
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
The equation of common tangent to the curves y2 = 16x and xy = –4, is :
A
x – y + 4 = 0
B
x + y + 4 = 0
C
x – 2y + 16 = 0
D
2x – y + 2 = 0
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