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The equation of the circle drawn with th...

The equation of the circle drawn with the focus of the parabola `(x - 1)^2 - 8 y = 0` as its centre touching the parabola at its vertex is:

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equation of parabola
`(x-1)^2=8y`=4*2*y -(1)
so, a=2
`x^2`=4ay
putting in eq(1)
x-1=0
x=0
y=0
...
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