1

JEE Main 2022 (Online) 28th June Morning Shift

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

Let the eccentricity of the hyperbola $$H:{{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$ be $$\sqrt {{5 \over 2}} $$ and length of its latus rectum be $$6\sqrt 2 $$. If $$y = 2x + c$$ is a tangent to the hyperbola H, then the value of c^{2} is equal to :

2

JEE Main 2022 (Online) 26th June Evening Shift

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

The normal to the hyperbola

$${{{x^2}} \over {{a^2}}} - {{{y^2}} \over 9} = 1$$ at the point $$\left( {8,3\sqrt 3 } \right)$$ on it passes through the point :

3

JEE Main 2021 (Online) 26th August Evening Shift

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

The point $$P\left( { - 2\sqrt 6 ,\sqrt 3 } \right)$$ lies on the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$ having eccentricity $${{\sqrt 5 } \over 2}$$. If the tangent and normal at P to the hyperbola intersect its conjugate axis at the point Q and R respectively, then QR is equal to :

4

JEE Main 2021 (Online) 26th August Evening Shift

MCQ (Single Correct Answer)

+4

-1

The locus of the mid points of the chords of the hyperbola x

^{2}$$-$$ y^{2}= 4, which touch the parabola y^{2}= 8x, is :Questions Asked from Hyperbola (MCQ (Single Correct Answer))

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