The ordinates of the points P and Q on the parabola with focus (3,0) and directrix x = -3 are in the ratio 3:1. If 
is the point of intersection of the tangents to the parabola at P and Q, then 
is equal to
Text Solution
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Given,
Focus (3,0), Directrix, x = -3
So, the equation of parabola will be, y 2 = 12x
Now taking the parametric point (3t 2 ,6t) and plotting the diagram we get,
Now we know that 
will be the aithematic mean of ordinate and geometric mean of abscissa
will be,
Hence, 
and 
So, putting the value in
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