Conic Sections

JEE Main · Mathematics · 17 past questions

These are the board's own papers. 291 more board questions reprinted in the books we use in class are for signed-in students: sign in.

4 of 17 · show all

1. Q10 2026 5 Apr Shift 2

   Let the eccentricity e of a hyperbola satisfy the equation $6e^2 - 11e + 3 = 0$. If the foci of the hyperbola…

   Try it →
2. Q12 2026 6 Apr Shift 1

   Let $e_1$ and $e_2$ be two distinct roots of the equation $x^2-ax+2=0$. Let the sets $\{a\in\mathbb{R}: e_1$…

   Try it →
3. Q13 2026 6 Apr Shift 1

   If the eccentricity $e$ of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$, passing through $(6,4\sqrt3)$…

   Try it →
4. Q15 2026 6 Apr Shift 2

   The eccentricity of an ellipse E with centre at the origin O is $\frac{\sqrt{3}}{2}$ and its directrices are…

   Try it →