1

JEE Main 2020 (Online) 4th September Morning Slot

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

Let P(3, 3) be a point on the hyperbola,

$${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$. If the normal to it at P intersects the x-axis at (9, 0) and e is its eccentricity, then the ordered pair (a

$${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$. If the normal to it at P intersects the x-axis at (9, 0) and e is its eccentricity, then the ordered pair (a

^{2}, e^{2}) is equal to :2

JEE Main 2020 (Online) 3rd September Evening Slot

MCQ (Single Correct Answer)

+4

-1

Let e

$${{{x^2}} \over {25}} + {{{y^2}} \over {{b^2}}} = 1$$(b < 5) and the hyperbola,

$${{{x^2}} \over {16}} - {{{y^2}} \over {{b^2}}} = 1$$ respectively satisfying e

and $$\beta $$ are the distances between the foci of the

ellipse and the foci of the hyperbola

respectively, then the ordered pair ($$\alpha $$, $$\beta $$) is equal to :

_{1}and e_{2}be the eccentricities of the ellipse,$${{{x^2}} \over {25}} + {{{y^2}} \over {{b^2}}} = 1$$(b < 5) and the hyperbola,

$${{{x^2}} \over {16}} - {{{y^2}} \over {{b^2}}} = 1$$ respectively satisfying e

_{1}e_{2}= 1. If $$\alpha $$and $$\beta $$ are the distances between the foci of the

ellipse and the foci of the hyperbola

respectively, then the ordered pair ($$\alpha $$, $$\beta $$) is equal to :

3

JEE Main 2020 (Online) 3rd September Morning Slot

MCQ (Single Correct Answer)

+4

-1

A hyperbola having the transverse axis of
length
$$\sqrt 2 $$ has the same foci as that of the ellipse
3x

^{2}+ 4y^{2}= 12, then this hyperbola does not pass through which of the following points?4

JEE Main 2020 (Online) 2nd September Evening Slot

MCQ (Single Correct Answer)

+4

-1

For some $$\theta \in \left( {0,{\pi \over 2}} \right)$$, if the eccentricity of the

hyperbola, x

eccentricity of the ellipse, x

hyperbola, x

^{2}–y^{2}sec^{2}$$\theta $$ = 10 is $$\sqrt 5 $$ times theeccentricity of the ellipse, x

^{2}sec^{2}$$\theta $$ + y^{2}= 5, then the length of the latus rectum of the ellipse, is :Questions Asked from Hyperbola (MCQ (Single Correct Answer))

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