1

JEE Main 2021 (Online) 27th August Morning Shift

MCQ (Single Correct Answer)

+4

-1

If x

^{2}+ 9y^{2}$$-$$ 4x + 3 = 0, x, y $$\in$$ R, then x and y respectively lie in the intervals :2

JEE Main 2021 (Online) 26th August Morning Shift

MCQ (Single Correct Answer)

+4

-1

On the ellipse $${{{x^2}} \over 8} + {{{y^2}} \over 4} = 1$$ let P be a point in the second quadrant such that the tangent at P to the ellipse is perpendicular to the line x + 2y = 0. Let S and S' be the foci of the ellipse and e be its eccentricity. If A is the area of the triangle SPS' then, the value of (5 $$-$$ e

^{2}). A is :3

JEE Main 2021 (Online) 27th July Morning Shift

MCQ (Single Correct Answer)

+4

-1

A ray of light through (2, 1) is reflected at a point P on the y-axis and then passes through the point (5, 3). If this reflected ray is the directrix of an ellipse with eccentricity $${1 \over 3}$$ and the distance of the nearer focus from this directrix is $${8 \over {\sqrt {53} }}$$, then the equation of the other directrix can be :

4

JEE Main 2021 (Online) 25th July Evening Shift

MCQ (Single Correct Answer)

+4

-1

If a tangent to the ellipse x

^{2}+ 4y^{2}= 4 meets the tangents at the extremities of it major axis at B and C, then the circle with BC as diameter passes through the point :Questions Asked from Ellipse (MCQ (Single Correct Answer))

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