JEE Main 2020 (Online) 7th January Evening Slot | Conic Sections Question 139 | Mathematics

JEE Main 2020 (Online) 7th January Evening Slot

MCQ (Single Correct Answer)

-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 :

$$2\sqrt 5 $$

$$2\sqrt 7 $$

$$2\sqrt 2 $$

JEE Main 2020 (Online) 7th January Morning Slot

MCQ (Single Correct Answer)

-1

If y = mx + 4 is a tangent to both the parabolas, y² = 4x and x² = 2by, then b is equal to:

-128

128

-64

-32

JEE Main 2020 (Online) 7th January Morning Slot

MCQ (Single Correct Answer)

-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:

$$\sqrt 3 $$

$$3\sqrt 2 $$

$${3 \over {\sqrt 2 }}$$

$$2\sqrt 3 $$

JEE Main 2019 (Online) 12th April Evening Slot

MCQ (Single Correct Answer)

-1

The equation of common tangent to the curves y² = 16x and xy = –4, is :

x – y + 4 = 0

x + y + 4 = 0

x – 2y + 16 = 0

2x – y + 2 = 0

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