Conic Sections

JEE Advanced · Mathematics · 71 past questions

12 of 71 · show all

1. Q8 2024 Paper 1

   Consider the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=1$. Let $S(p,q)$ be a point in the first quadrant such that…

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2. Q14 2022 Paper 1

   Consider the ellipse $\frac{x^2}{4}+\frac{y^2}{3}=1$.…

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3. Q19 2021 Paper 2

   Let $E$ be the ellipse $\frac{x^2}{16}+\frac{y^2}{9}=1$. For any three distinct points $P, Q$ and $Q'$ on…

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4. Q20 2020 Paper 1

   Let $a, b$ and $\lambda$ be positive real numbers. Suppose $P$ is an end point of the latus rectum of the…

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5. 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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6. 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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7. 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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8. Q45 2012 Paper 1

   The ellipse $E_1:\dfrac{x^2}{9}+\dfrac{y^2}{4}=1$ is inscribed in a rectangle $R$ whose sides are parallel to…

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9. Q56 2010 Paper 2

   Paragraph for Questions 34 to 36.…

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10. Q57 2010 Paper 2

    Paragraph for Questions 34 to 36.…

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11. Q58 2009 Paper 1

    The line passing through the extremity $A$ of the major axis and extremity $B$ of the minor axis of the…

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12. Q60 2009 Paper 2

    The normal at a point $P$ on the ellipse $x^2+4y^2=16$ meets the $x$-axis at $Q$. If $M$ is the mid point of…

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