Question

A circle passes through points (-3,4),(1,0) and it centre lies on x axis

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A circle passes through the points (-3,4),(1,0)and its centre lies on the x-axis .Find the equation of the circle

one year ago

Answers : (1)

since center lies on the x axis.The center can be represented by (h,0)

The distance between (h,0) and (1,0) is radius since both lie on the x axis.

And circle passing through (-3,4) can be represented by

(-3 –h)2 + (4 – 0)2 = r2

=> 9 + h^2 + 6h + 16 = r^2-----------------1

 circle passing through (1,0) can be represented by

(1-h)2 = r2  ------------------------2

Equating 1 and 2

9 + h^2 + 6h + 16 = 1 + h^2 – 2h

8h = -24

h = -3.

Radius is ((1-h)2 )^ ½

Radius is 4