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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  (2002S)
  • a)
    x = –a
  • b)
    x = –a/2
  • 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 ...
If (h, k) is the mid point of line joining focus (a, 0) and Q (at2, 2at) on parabola then k = at
Eliminating t, we get  2h = 
⇒ k2 = a (2h – a) ⇒  k2 = 2a (h – a/2)
∴ Locus of (h, k) is y2 = 2a (x – a/2)
whose directrix is (x – a/2) =
⇒ x = 0
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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 (2002S)a)x = –ab)x = –a/2c)x = 0d)x = a/2Correct answer is option 'C'. Can you explain this answer?
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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 (2002S)a)x = –ab)x = –a/2c)x = 0d)x = a/2Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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 (2002S)a)x = –ab)x = –a/2c)x = 0d)x = a/2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 (2002S)a)x = –ab)x = –a/2c)x = 0d)x = a/2Correct answer is option 'C'. Can you explain this answer?.
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