10 JEE Main 2021 Hyperbola previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2021 previous-year questions from the Hyperbola chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Hyperbola chapter hub.
The point P ( - 2 6 , 3 ) lies on the hyperbola x 2 a 2 - y 2   b 2 = 1 having eccentricity 5 2 . If the tangent a…
Let P a sec θ , b tan θ and Q a sec ϕ , b tan ϕ where θ + ϕ = π 2 , be two points on…
Consider a hyperbola H   :   x 2 - 2 y 2 = 4 . Let the tangent at a point P ( 4 , 6 ) meet the x -axis at Q a…
A square A B C D has all its vertices on the curve x 2 y 2 = 1 . The midpoints of its sides also lie on the same curve.…
The locus of the point of intersection of the lines 3 k x + k y - 4 3 = 0 and 3 x - y - 4 3 k = 0 is a conic, whose ecc…
A hyperbola passes through the foci of the ellipse x 2 25 + y 2 16 = 1 and its transverse and conjugate axes coincide w…
The locus of the centroid of the triangle formed by any point P on the hyperbola 16 x 2 - 9 y 2 + 32 x + 36 y - 164 = 0…
The locus of the mid points of the chords of the hyperbola x 2 - y 2 = 4 , which touch the parabola y 2 = 8 x , is :
Let a line L : 2 x + y = k ,   k > 0 be a tangent to the hyperbola x 2 - y 2 = 3 . If L is also a tangent to t…
The locus of the midpoints of the chord of the circle, x 2 + y 2 = 25 which is tangent to the hyperbola, x 2 9 - y 2 16…