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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    If ?a? and ?c? are the segments of a focal chord of a parabola and b the semi-latus rectum, then      [MP PET 1995]

    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

    Correct Answer: C

    Solution :

               Semi latus rectum is harmonic mean between segments of focal chords of a parabola.                    \ \[b=\frac{2ac}{a+c}\] Þ a, b, c are in H.P.


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