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Parabola · 2015 · Shift 1

3 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2015 · Shift 1
Mathematics
Parabola

Parabola · 2015 · Shift 1

3 Mathematics questions from this JEE Advanced paper

Q24.Let $P$ and $Q$ be distinct points on the parabola $y^{2} = 2 x$ such that a circle with $P Q$ as diameter passes through the vertex $O$ of the parabola. If $P$ lies in the first quadrant and the area of the triangle $Δ O P Q$ is $32,$ …
Mathematics · Parabola · Multiple correct
Q25.If the normals of the parabola $y^{2} = 4 x$ drawn at the end points of its latus rectum are tangents to the circle $(x - 3)^{2} + (y + 2)^{2} = r^{2}$ , then the value of $r^{2}$ is
Mathematics · Parabola · Numerical
Q26.Let the curve $C$ be the mirror image of the parabola $y^{2} = 4 x$ with respect to the line $x + y + 4 = 0$ . If $A$ and $B$ are the points of intersection of $C$ with the line $y = - 5$ , then the distance between $A$ and $B$ is
Mathematics · Parabola · Numerical