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    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
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    (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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