All Questions / Mathematics / Conic Sections

Conic Sections — JEE Mathematics MCQs

Master Conic Sections for JEE Main with free mathematics MCQs. Each question includes a detailed solution and instant feedback — practice at easy, medium, and hard difficulty levels to build exam-ready confidence.

3 practice questions with instant feedback and solutions.

Easy•Conic Sections

The eccentricity of the ellipse

\frac{x^2}{25} + \frac{y^2}{16} = 1

is:

Hard•Conic Sections

[JEE Mains 2026] The value of α for which the line αx + 2y = 1 never touches the hyperbola x²/9 - y²/4 = 1 is:

Medium•Conic Sections

[JEE Mains 2026] Let one end of a focal chord of the parabola y² = 16x be at point P. If the focus F divides this focal chord internally in the ratio m:n, what is the minimum value of m + n (where m, n are positive integers with gcd(m,n) = 1)?