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.

7 of 17 · show all

1. Q2 2026 2 Apr Shift 2

   Let O be the origin, and P and Q be two points on the rectangular hyperbola $xy=12$ such that the mid point…

   Try it →
2. Q4 2026 2 Apr Shift 2

   Let A be the point $(3,0)$ and circles with variable diameter AB touch the circle $x^2+y^2=36$ internally.…

   Try it →
3. Q7 2026 4 Apr Shift 2

   Let A, B and C be the vertices of a variable right angled triangle inscribed in the parabola $y^2=16x$. Let…

   Try it →
4. Q9 2026 5 Apr Shift 2

   Let the directrix of the parabola P : $y^2 = 8x$, cut x-axis at the point A. Let B $(\alpha, \beta)$…

   Try it →
5. Q14 2026 6 Apr Shift 1

   Let chord PQ of length $3\sqrt{13}$ of the parabola $y^2 = 12x$ be such that the ordinates of points P and Q…

   Try it →
6. Q16 2026 6 Apr Shift 2

   Let $x = 9$ be a directrix of an ellipse E, whose centre is at the origin and eccentricity is $\frac{1}{3}$.…

   Try it →
7. Q17 2026 8 Apr Shift 2

   Let O be the vertex of the parabola y^2=4x and its chords OP and OQ are perpendicular to each other. If the…

   Try it →