1

JEE Main 2022 (Online) 24th June Morning Shift

Numerical

+4

-1

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) 31st August Evening Shift

Numerical

+4

-1

A tangent line L is drawn at the point (2, $$-$$4) on the parabola y

^{2}= 8x. If the line L is also tangent to the circle x^{2}+ y^{2}= a, then 'a' is equal to ___________.Your input ____

3

JEE Main 2021 (Online) 27th August Evening Shift

Numerical

+4

-1

Let A (sec$$\theta$$, 2tan$$\theta$$) and B (sec$$\phi$$, 2tan$$\phi$$), where $$\theta$$ + $$\phi$$ = $$\pi$$/2, be two points on the hyperbola 2x

^{2}$$-$$ y^{2}= 2. If ($$\alpha$$, $$\beta$$) is the point of the intersection of the normals to the hyperbola at A and B, then (2$$\beta$$)^{2}is equal to ____________.Your input ____

4

JEE Main 2021 (Online) 27th August Morning Shift

Numerical

+4

-1

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 ____

Questions Asked from Conic Sections (Numerical)

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