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# A level maths help c1 watch

1. A circle has equation (x − 3)2 + (y + 2)2 = 25.
(i) State the coordinates of the centre of this circle and its radius. [2]

(ii) Verify that the point A with coordinates (6, −6) lies on this circle. Show also that the point B onthe circle for which AB is a diameter has coordinates (0, 2). [3]

(iii) Find the equation of the tangent to the circle at A. [4]

(iv) A second circle touches the original circle at A. Its radius is 10 and its centre is at C, where BACis a straight line. Find the coordinates of C and hence write down the equation of this secondcircle.

need help with the last part
past paper:http://www.mei.org.uk/files/papers/c110ja_4751.pdf
2. (Original post by 321nassah)
A circle has equation (x − 3)2 + (y + 2)2 = 25.
(i) State the coordinates of the centre of this circle and its radius. [2]

(ii) Verify that the point A with coordinates (6, −6) lies on this circle. Show also that the point B onthe circle for which AB is a diameter has coordinates (0, 2). [3]

(iii) Find the equation of the tangent to the circle at A. [4]

(iv) A second circle touches the original circle at A. Its radius is 10 and its centre is at C, where BACis a straight line. Find the coordinates of C and hence write down the equation of this secondcircle.

need help with the last part
past paper:http://www.mei.org.uk/files/papers/c110ja_4751.pdf

The diameter of the first circle is ____. The radius of the new circle is ____.

A is the ________ of BC.

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