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Intercept Made by Circle on Axes

A line y =mx ...

Question

A line y =mx cuts the curve y square =4ax at point A and B. Find the equation of circle with AB as diameter

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y = x

y^{2} = 4 a x

A

B

. Find equation of circle with

A B

y = 4 x - 2

y^{2} = 8 x

A

B,

then the equation of circle having

A B

as a diameter, is

2 y = 4 x - 6

y^{2} = 16 x

A

B,

then the equation of circle having

A B

x^{2} + y^{2} + 2 x + 3 y + 1 = 0

cuts the circle

x^{2} + y^{2} + 9 x + 3 y + 2 = 0

A

B

. Then find the equation of circle with

A B

Q. Given are the parabolas

y^{2} = 4 a (x - a)

x^{2} = 4 a y

,find the equation of the circle with the line joining their foci as diameter.

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