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MATH / Let points P and Q be the intersections of the parabola y²=4ax, where a>0, and an arbitrary line passing through the focus of the parabola. Let R be the reflection of P in the x-ax…

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problem

Let points PP and QQ be the intersections of the parabola y2=4ax,y^2 = 4ax, where a>0,a > 0, and an arbitrary line passing through the focus of the parabola. Let RR be the reflection of PP in the xx-axis. Find the intersection of line QRQR with the xx-axis.
Plain-text mathematical notation (without MathML)
Let points P and Q be the intersections of the parabola y²=4ax, where a>0, and an arbitrary line passing through the focus of the parabola.  Let R be the reflection of P in the x-axis.  Find the intersection of line QR with the x-axis.
Original LaTeX notation
Let points $P$ and $Q$ be the intersections of the parabola $y^2 = 4ax,$ where $a > 0,$ and an arbitrary line passing through the focus of the parabola.  Let $R$ be the reflection of $P$ in the $x$-axis.  Find the intersection of line $QR$ with the $x$-axis.

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
68097ee0-ba9b-5882-b75f-f68c5a0ea06b
task_key
intermediate~5falgebra--test--68097ee0-ba9b-5882-b75f-f68c5a0ea06b
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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