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if the length of the common chord of the circle x2 + y2 = 4 and the parabola y2 = 4(x-h) is maximum, then find the value of h.

if the length of the common chord of the circle x2 + y2 = 4 and the parabola y2 = 4(x-h) is maximum, then find the value of h.

Grade:11

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4405 Points
3 years ago
Length will be maximum when LR of parabola will become diametere of circle that is line x=0
so in that case focus (0,0) here focus is x-h=1 and y=0 so x=1+h but we want zero so h=-1

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