1
JEE Main 2020 (Online) 9th January Evening Slot
+4
-1
Out of Syllabus
The length of the minor axis (along y-axis) of an ellipse in the standard form is $${4 \over {\sqrt 3 }}$$. If this ellipse touches the line, x + 6y = 8; then its eccentricity is :
A
$${1 \over 3}\sqrt {{{11} \over 3}}$$
B
$${1 \over 2}\sqrt {{5 \over 3}}$$
C
$$\sqrt {{5 \over 6}}$$
D
$${1 \over 2}\sqrt {{{11} \over 3}}$$
2
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
Out of Syllabus
Let the line y = mx and the ellipse 2x2 + y2 = 1 intersect at a ponit P in the first quadrant. If the normal to this ellipse at P meets the co-ordinate axes at $$\left( { - {1 \over {3\sqrt 2 }},0} \right)$$ and (0, $$\beta$$), then $$\beta$$ is equal to :
A
$${{\sqrt 2 } \over 3}$$
B
$${2 \over 3}$$
C
$${{2\sqrt 2 } \over 3}$$
D
$${2 \over {\sqrt 3 }}$$
3
JEE Main 2020 (Online) 7th January Evening Slot
+4
-1
Out of Syllabus
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
$$2\sqrt 2$$
4
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
$$2\sqrt 3$$
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