1

JEE Main 2020 (Online) 6th September Morning Slot

MCQ (Single Correct Answer)

+4

-1

Which of the following points lies on the locus of the foot of perpedicular drawn upon any tangent
to the ellipse,

$${{{x^2}} \over 4} + {{{y^2}} \over 2} = 1$$

from any of its foci?

$${{{x^2}} \over 4} + {{{y^2}} \over 2} = 1$$

from any of its foci?

2

JEE Main 2020 (Online) 5th September Morning Slot

MCQ (Single Correct Answer)

+4

-1

If the co-ordinates of two points A and B

are $$\left( {\sqrt 7 ,0} \right)$$ and $$\left( { - \sqrt 7 ,0} \right)$$ respectively and

P is any point on the conic, 9x

are $$\left( {\sqrt 7 ,0} \right)$$ and $$\left( { - \sqrt 7 ,0} \right)$$ respectively and

P is any point on the conic, 9x

^{2}+ 16y^{2}= 144, then PA + PB is equal to :3

JEE Main 2020 (Online) 4th September Evening Slot

MCQ (Single Correct Answer)

+4

-1

Let x = 4 be a directrix to an ellipse whose centre is at the origin and its eccentricity is $${1 \over 2}$$. If P(1, $$\beta $$), $$\beta $$ > 0 is a point on this ellipse, then the equation of the normal to it at P is :

4

JEE Main 2020 (Online) 4th September Morning Slot

MCQ (Single Correct Answer)

+4

-1

Let $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$ (a > b) be a given ellipse, length of whose latus rectum is 10. If its eccentricity is the maximum value of the function,

$$\phi \left( t \right) = {5 \over {12}} + t - {t^2}$$, then a

$$\phi \left( t \right) = {5 \over {12}} + t - {t^2}$$, then a

^{2}+ b^{2}is equal to :Questions Asked from Ellipse (MCQ (Single Correct Answer))

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