If the point (at^2 , 2at ) be exttemity of focal c

Question

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)

Ravi · Accepted Answer

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.

Analytical Geometry> If the point (at^2 , 2at ) be exttemity o...

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)

muktesh singh , 10 Years ago

Ravi

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Analytical Geometry> If the point (at^2 , 2at ) be exttemity o...

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)

muktesh singh , 10 Years ago

Ravi

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

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