Guest

If the point (at^2 , 2at ) be exttemity of focal chord of parabola y^2 = 4ax then show length of focalchord is a(t + 1/t^2)

If the point (at^2 , 2at ) be exttemity of focal chord of parabola y^2 = 4ax then show length of focalchord is 
a(t + 1/t^2)

Grade:11

1 Answers

Ravi
askIITians Faculty 69 Points
7 years ago
Find the eqn of focal chord using the condition that the focal chord passes through the focus(a,0) as well as(at^2 , 2at) by using the two point form of the straight line. Now, find the point of intersection of the straight line then formed with the parabola given. This will result in 2 points, one being(at^2 , 2at) and the other one which is the one that is needed. Use both these points to find the distance between them which will be the length of the focal chord.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free