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Question: Answered & Verified by Expert
If ' $a$ ' and ' $c$ ' are the segments of a focal chord of a parabola and $b$ the semi-latus rectum, then
MathematicsParabolaJEE Main
Options:
  • A $a, b, c$ are in A.P.
  • B $a, b, c$ are in G.P.
  • C $a, b, c$ are in H.P.
  • D None of these
Solution:
2581 Upvotes Verified Answer
The correct answer is: $a, b, c$ are in H.P.
Semi latus rectum is harmonic mean between segments of focal chords of a parabola.
$\therefore \quad b=\frac{2 a c}{a+c} \Rightarrow a, b, c$ are in H.P.

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