Q. 75.0( 1 Vote )

PSQ is a focal chord of the parabola y2 = 8x. If SP = 6, then write SQ.

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.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Lecture on Equation of ParabolaFREE Class
Interactive Quiz on Equation of Parabola41 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses