Conic Sections

JEE Advanced · Mathematics · 71 past questions

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1. Q7 2025 Paper 2

   Let $S$ denote the locus of the mid-points of those chords of the parabola $y^2 = x$, such that the area of…

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2. 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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3. 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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4. 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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5. 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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6. Q42 2013 Paper 2

   Paragraph for Questions 55 and 56…

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7. Q43 2013 Paper 2

   Paragraph for Questions 55 and 56…

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8. 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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9. 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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10. Q52 2010 Paper 1

    Let A and B be two distinct points on the parabola $y^2 = 4x$. If the axis of the parabola touches a circle…

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11. 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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12. 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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