1

JEE Main 2021 (Online) 27th July Evening Shift

Numerical

+4

-1

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 ____

2

JEE Main 2021 (Online) 20th July Evening Shift

Numerical

+4

-1

If the point on the curve y

^{2}= 6x, nearest to the point $$\left( {3,{3 \over 2}} \right)$$ is ($$\alpha$$, $$\beta$$), then 2($$\alpha$$ + $$\beta$$) is equal to _____________.Your input ____

3

JEE Main 2021 (Online) 20th July Morning Shift

Numerical

+4

-1

Let y = mx + c, m > 0 be the focal chord of y

^{2}= $$-$$ 64x, which is tangent to (x + 10)^{2}+ y^{2}= 4. Then, the value of 4$$\sqrt 2 $$ (m + c) is equal to _____________.Your input ____

4

JEE Main 2021 (Online) 26th February Evening Shift

Numerical

+4

-1

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 Conic Sections (Numerical)

Number in Brackets after Paper Indicates No. of Questions

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