Answer :

Given that PSQ is a focal chord of the parabola y2 = 8x.


It is also given that SP = 6. We need to find the value of SQ.


Comparing with the standard form of parabola y2 = 4ax


4a = 8


a = 2


We know that the semi - length of the latus - rectum is the harmonic mean of any length of any focal chord.


We know that if a, b, c are in harmonic progression, harmonic mean is given by,



We know that the semi - length of the latus - rectum is 2a = 4.





SQ = 3


The value of SQ is 3.


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