1

JEE Main 2020 (Online) 5th September Evening Slot

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

If the line y = mx + c is a common tangent to
the hyperbola

$${{{x^2}} \over {100}} - {{{y^2}} \over {64}} = 1$$ and the circle x

$${{{x^2}} \over {100}} - {{{y^2}} \over {64}} = 1$$ and the circle x

^{2}+ y^{2}= 36, then which one of the following is true?2

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 :3

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 :

4

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?Questions Asked from Hyperbola (MCQ (Single Correct Answer))

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