1

JEE Main 2021 (Online) 18th March Evening Shift

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

Let a tangent be drawn to the ellipse $${{{x^2}} \over {27}} + {y^2} = 1$$ at $$(3\sqrt 3 \cos \theta ,\sin \theta )$$ where $$0 \in \left( {0,{\pi \over 2}} \right)$$. Then the value of $$\theta$$ such that the sum of intercepts on axes made by this tangent is minimum is equal to :

2

JEE Main 2021 (Online) 16th March Evening Shift

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

If the points of intersections of the ellipse $${{{x^2}} \over {16}} + {{{y^2}} \over {{b^2}}} = 1$$ and the

circle x

circle x

^{2}+ y^{2}= 4b, b > 4 lie on the curve y^{2}= 3x^{2}, then b is equal to :3

JEE Main 2021 (Online) 25th February Evening Shift

MCQ (Single Correct Answer)

+4

-1

If the curve x

^{2}+ 2y^{2}= 2 intersects the line x + y = 1 at two points P and Q, then the angle subtended by the line segment PQ at the origin is :4

JEE Main 2020 (Online) 6th September Evening Slot

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

If the normal at an end of a latus rectum of an
ellipse passes through an extremity of the
minor axis, then the eccentricity e of the ellipse
satisfies :

Questions Asked from Ellipse (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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