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The locus of the mid point of the line segment joining the focus to a moving point on the parabola y2 = 4ax is another parabola with directrix
  • a)
    x = -a
  • b)
  • c)
    x = 0
  • d)
    x = a/2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The locus of the mid point of the line segment joining the focus to a ...
Let p (h, k) be the mid point of the line segment joining the focus (a, 0) and a general point Q (x, y) on the parabola. Then

Put these values of x and y in y2 = 4ax, we get

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The locus of the mid point of the line segment joining the focus to a moving point on the parabola y2= 4ax is another parabola with directrixa)x = -ab)c)x = 0d)x = a/2Correct answer is option 'C'. Can you explain this answer?
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