1

JEE Main 2020 (Online) 4th September Evening Slot

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

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 :

2

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 :3

JEE Main 2020 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

+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 :

4

JEE Main 2020 (Online) 8th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

Let the line y = mx and the ellipse 2x

^{2}+ y^{2}= 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 :Questions Asked from Ellipse (MCQ (Single Correct Answer))

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