Conic Sections

JEE Advanced · Mathematics · 71 past questions

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1. Q26 2017 Paper 1

   If a chord, which is not a tangent, of the parabola $y^2 = 16x$ has the equation $2x + y = p$, and midpoint…

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2. 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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3. 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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4. Q38 2014 Paper 2

   Let $a, r, s, t$ be nonzero real numbers. Let $P(at^2, 2at)$, $Q$, $R(ar^2, 2ar)$ and $S(as^2, 2as)$ be…

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5. Q42 2013 Paper 2

   Paragraph for Questions 55 and 56…

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6. Q43 2013 Paper 2

   Paragraph for Questions 55 and 56…

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7. Q48 2011 Paper 1

   Consider the parabola $y^2 = 8x$. Let $\Delta_1$ be the area of the triangle formed by the end points of its…

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8. Q65 2008 Paper 1

   Let $P(x_1, y_1)$ and $Q(x_2, y_2)$, $y_1 < 0$, $y_2 < 0$, be the end points of the latus rectum of the…

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