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Question

Tangents drawn to parabola y to the power of 2 end exponent= 4ax at the points A and B intersect at C. Ordinate of A, C and B forms

  1. a A.P.    
  2. a G.P    
  3. a H.P    
  4. None of these    

The correct answer is: a H.P


    Clearly, both the lines pass through (-a, b) which is a point lying on the directrix of the parabola.
    rightwards double arrowC identical to (at subscript 1 end subscript t subscript 2 end subscript, a(t subscript 1 end subscript plus t subscript 2 end subscript))
    Clearly the ordinates of A,C, B are in A.P.

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