Conic Sections

JEE Advanced · Mathematics · 71 past questions

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1. Q2 2026 Paper 2

   Let $T$ be the tangent to the parabola $y^2=16x$ at the point $(64, 32)$. Let $L$ be the tangent to the same…

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2. 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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3. Q46 2012 Paper 1

   Tangents are drawn to the hyperbola $\frac{x^2}{9}-\frac{y^2}{4}=1$, parallel to the straight line $2x-y=1$.…

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4. Q49 2011 Paper 2

   Let $P(6,3)$ be a point on the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$. If the normal at the point $P$…

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5. Q50 2011 Paper 2

   Let $(x,y)$ be any point on the parabola $y^2=4x$. Let $P$ be the point that divides the line segment from…

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6. Q51 2011 Paper 2

   Let $L$ be a normal to the parabola $y^2=4x$. If $L$ passes through the point $(9,6)$, then $L$ is given by

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7. Q54 2010 Paper 1

   Paragraph for Questions 45 to 46…

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8. Q56 2010 Paper 2

   Paragraph for Questions 34 to 36.…

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9. Q64 2008 Paper 1

   Let $a$ and $b$ be non-zero real numbers. Then, the equation…

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10. Q71 2007 Paper 2

    STATEMENT-1: The curve $y = \dfrac{-x^2}{2} + x + 1$ is symmetric with respect to the line $x = 1$.…

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