Question: The circle C has centre (5, 2) and radius 5. The points X (1, 1), Y (10, 2) and Z (8, k) lie on the

The circle C has centre (5, 2) and radius 5. The points X (1, −1), Y (10, 2) and Z (8, k) lie on the circle, where k is a positive integer.

a. Write down the equation of the circle.

b. Calculate the value of k.

c. Show that cos ∠XYZ = √2/10

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a To write down the equation of the circle we can use the general equation for a circle x h2 y k2 r2 Where h k represents the center of the circle and ... View full answer

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