JEE Main 2021 — Parabola Question with Solution
From: JEE Main 2021 (Online) 24th February Morning Shift
Question
The locus of the mid-point of the line segment joining the focus of the parabola y2 = 4ax to a
moving point of the parabola, is another parabola whose directrix is :
Choose an option
Show full solutionCorrect option: A
Correct answer
Ax = 0
Step-by-step explanation
Given, equation of parabola y2 = 4ax
Focus = S(a, 0)
Let any point on the parabola be P(at2, 2at).
and let the mid-point of PS be M(h, k).
Now,
Locus of (h, k) is
The directrix of this parabola is
Focus = S(a, 0)
Let any point on the parabola be P(at2, 2at).
and let the mid-point of PS be M(h, k).
Now,
Locus of (h, k) is
The directrix of this parabola is
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