Conic Sections

JEE Advanced · Mathematics · 71 past questions

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1. Q33 2015 Paper 1

   Let the curve $C$ be the mirror image of the parabola $y^2=4x$ with respect to the line $x+y+4=0$. If $A$ and…

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2. Q34 2015 Paper 1

   Let $P$ and $Q$ be distinct points on the parabola $y^2=2x$ such that a circle with $PQ$ as diameter passes…

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3. Q35 2015 Paper 2

   Suppose that the foci of the ellipse $\frac{x^2}{9}+\frac{y^2}{5}=1$ are $(f_1, 0)$ and $(f_2, 0)$ where…

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4. 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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5. 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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