8 JEE Main 2020 Hyperbola previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2020 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.
Let e 1 and e 2 be the eccentricities of the ellipse x 2 25 + y 2 b 2 = 1   b < 5 and the hyperbola x 2 16 - y…
If e 1 and e 2 are the eccentricities of the ellipse x 2 18 + y 2 4 = 1 and the hyperbola x 2 9 - y 2 4 = 1 respectivel…
Let P 3 , 3 be a point on the hyperbola, x 2 a 2 - y 2 b 2 = 1 . If the normal to it at P intersects the x -axis at 9 ,…
If the line y = m   x + c is a common tangent to the hyperbola x 2 100 - y 2 64 = 1 and the circle x 2 + y 2 = 36…
A hyperbola having the transverse axis of length, 2 has the same foci as that of the ellipse, 3 x 2 + 4 y 2 = 12 then t…
If a hyperbola passes through the point P 10 ,   16 , and it has vertices at ± 6 ,   0 , then the equa…
For some θ ∈ 0 , π 2 , if the eccentricity of the hyperbola, x 2 - y 2 sec 2 θ = 10 is 5 times the…
A line parallel to the straight line 2 x - y = 0 is tangent to the hyperbola x 2 4 − y 2 2 = 1 at the point x 1 ,…