Question: A circle, C, has equation x 2 + y 2 16x 36 = 0. a. Find the coordinates of the centre of the

A circle, C, has equation x² + y² − 16x − 36 = 0.

a. Find the coordinates of the centre of the circle.

b. Find the radius of the circle.

c. Find the coordinates of the points where the circle meets the x-axis.

d. The point P lies on the circle and the line L is a tangent to C at the point P. Given that the line L has gradient 4/3, find the equation of the perpendicular to the line L at the point P.

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