1

JEE Main 2022 (Online) 24th June Morning Shift

Numerical

+4

-1

Out of Syllabus

If two tangents drawn from a point ($$\alpha$$, $$\beta$$) lying on the ellipse 25x^{2} + 4y^{2} = 1 to the parabola y^{2} = 4x are such that the slope of one tangent is four times the other, then the value of (10$$\alpha$$ + 5)^{2} + (16$$\beta$$^{2} + 50)^{2} equals ___________.

Your input ____

2

JEE Main 2021 (Online) 27th August Morning Shift

Numerical

+4

-1

Out of Syllabus

If the minimum area of the triangle formed by a tangent to the ellipse $${{{x^2}} \over {{b^2}}} + {{{y^2}} \over {4{a^2}}} = 1$$ and the co-ordinate axis is kab, then k is equal to _______________.

Your input ____

3

JEE Main 2021 (Online) 27th July Evening Shift

Numerical

+4

-1

Out of Syllabus

Let E be an ellipse whose axes are parallel to the co-ordinates axes, having its center at (3, $$-$$4), one focus at (4, $$-$$4) and one vertex at (5, $$-$$4). If mx $$-$$ y = 4, m > 0 is a tangent to the ellipse E, then the value of 5m

^{2}is equal to _____________.Your input ____

4

JEE Main 2021 (Online) 26th February Evening Shift

Numerical

+4

-1

Out of Syllabus

Let L be a common tangent line to the curves

4x

square of the slope of the line L is __________.

4x

^{2}+ 9y^{2}= 36 and (2x)^{2}+ (2y)^{2}= 31. Then thesquare of the slope of the line L is __________.

Your input ____

Questions Asked from Ellipse (Numerical)

Number in Brackets after Paper Indicates No. of Questions

JEE Main 2023 (Online) 15th April Morning Shift (1)
JEE Main 2023 (Online) 1st February Evening Shift (1)
JEE Main 2023 (Online) 24th January Morning Shift (2)
JEE Main 2022 (Online) 28th July Evening Shift (1)
JEE Main 2022 (Online) 27th July Morning Shift (1)
JEE Main 2022 (Online) 24th June Morning Shift (1)
JEE Main 2021 (Online) 27th August Morning Shift (1)
JEE Main 2021 (Online) 27th July Evening Shift (1)
JEE Main 2021 (Online) 26th February Evening Shift (1)

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