1
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
$$2\sqrt 2$$
2
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
$$2\sqrt 3$$
3
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?
A
$$\left( {2,\sqrt 2 } \right)$$
B
$$\left( {2,2\sqrt 2 } \right)$$
C
$$\left( {\sqrt 2 ,2} \right)$$
D
$$\left( {1,2\sqrt 2 } \right)$$
4
JEE Main 2019 (Online) 12th April Morning Slot
+4
-1
Out of Syllabus
If the normal to the ellipse 3x2 + 4y2 = 12 at a point P on it is parallel to the line, 2x + y = 4 and the tangent to the ellipse at P passes through Q(4,4) then PQ is equal to :
A
$${{\sqrt {61} } \over 2}$$
B
$${{\sqrt {221} } \over 2}$$
C
$${{\sqrt {157} } \over 2}$$
D
$${{5\sqrt 5 } \over 2}$$
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