1

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 :

2

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 :3

JEE Main 2021 (Online) 25th July Morning Shift

MCQ (Single Correct Answer)

+4

-1

The locus of the centroid of the triangle formed by any point P on the hyperbola $$16{x^2} - 9{y^2} + 32x + 36y - 164 = 0$$, and its foci is :

4

JEE Main 2021 (Online) 22th July Evening Shift

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

Let a line L : 2x + y = k, k > 0 be a tangent to the hyperbola x

^{2}$$-$$ y^{2}= 3. If L is also a tangent to the parabola y^{2}= $$\alpha$$x, then $$\alpha$$ is equal to :Questions Asked from Hyperbola (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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