Conic Sections

JEE Advanced · Mathematics · 71 past questions

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1. Q5 2026 Paper 2

   Question Stem for Question Nos. 17 and 18…

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2. Q7 2025 Paper 2

   Let $S$ denote the locus of the mid-points of those chords of the parabola $y^2 = x$, such that the area of…

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3. Q11 2023 Paper 1

   Let $T_1$ and $T_2$ be two distinct common tangents to the ellipse $E:\dfrac{x^2}{6}+\dfrac{y^2}{3}=1$ and…

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4. Q13 2022 Paper 1

   Consider the parabola $y^2 = 4x$. Let $S$ be the focus of the parabola. A pair of tangents drawn to the…

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5. Q15 2022 Paper 2

   Consider the hyperbola…

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6. Q17 2021 Paper 1

   Consider the lines $L_1$ and $L_2$ defined by…

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7. Q21 2020 Paper 2

   Let $a$ and $b$ be positive real numbers such that $a>1$ and $b<a$. Let $P$ be a point in the first quadrant…

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8. Q22 2019 Paper 1

   Define the collections $\{E_1, E_2, E_3, ...\}$ of ellipses and $\{R_1, R_2, R_3, ...\}$ of rectangles as…

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9. Q32 2016 Paper 2

   PARAGRAPH 2…

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10. Q36 2015 Paper 2

    Let $E_1$ and $E_2$ be two ellipses whose centers are at the origin. The major axes of $E_1$ and $E_2$ lie…

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11. Q37 2015 Paper 2

    Consider the hyperbola $H: x^2-y^2=1$ and a circle $S$ with center $N(x_2,0)$. Suppose that $H$ and $S$ touch…

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12. Q41 2013 Paper 1

    A vertical line passing through the point $(h, 0)$ intersects the ellipse $\dfrac{x^2}{4}+\dfrac{y^2}{3}=1$…

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13. Q44 2013 Paper 2

    A line $L: y = mx + 3$ meets $y$-axis at $E(0, 3)$ and the arc of the parabola $y^2 = 16x$, $0 \le y \le 6$…

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14. Q52 2010 Paper 1

    Let A and B be two distinct points on the parabola $y^2 = 4x$. If the axis of the parabola touches a circle…

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