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.

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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…

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2. 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 $(\alpha, \beta)$…

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3. 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 $\frac{1}{3}$.…

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4. 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…

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