Conic Sections

JEE Advanced · Mathematics · 71 past questions

16 of 71 · show all

1. Q1 2026 Paper 1

   Let $P$ be the point on the parabola $y=x^2$ such that the slope of the tangent to the parabola at the point…

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2. Q3 2026 Paper 2

   Consider the ellipse $E$ given by $\frac{x^2}{18}+\frac{y^2}{12}=1$. Let $H$ be the hyperbola whose…

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3. Q4 2026 Paper 2

   Question Stem for Question Nos. 17 and 18…

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4. Q5 2026 Paper 2

   Question Stem for Question Nos. 17 and 18…

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5. 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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6. Q23 2018 Paper 2

   Consider two straight lines, each of which is tangent to both the circle $x^2+y^2=\frac{1}{2}$ and the…

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7. Q30 2016 Paper 2

   Let $P$ be the point on the parabola $y^2=4x$ which is at the shortest distance from the center $S$ of the…

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8. Q31 2016 Paper 2

   PARAGRAPH 2…

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9. Q32 2016 Paper 2

   PARAGRAPH 2…

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10. Q53 2010 Paper 1

    Paragraph for Questions 45 to 46…

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11. Q54 2010 Paper 1

    Paragraph for Questions 45 to 46…

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12. Q61 2009 Paper 2

    An ellipse intersects the hyperbola $2x^2 - 2y^2 = 1$ orthogonally. The eccentricity of the ellipse is…

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13. Q63 2008 Paper 1

    Consider the two curves…

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14. Q68 2007 Paper 1

    M61-63: Paragraph for Question Nos. 61 to 63…

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15. Q69 2007 Paper 1

    M61-63: Paragraph for Question Nos. 61 to 63…

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16. Q70 2007 Paper 1

    M61-63: Paragraph for Question Nos. 61 to 63…

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