a. Show that x 2 + y 2 10x 8y + 32 = 0 can
Question:
a. Show that x2 + y2 − 10x − 8y + 32 = 0 can be written in the form (x − a)2 + (y − b)2 = r2, where a, b and r are numbers to be found.
b. Circle C has equation x2 + y2 − 10x − 8y + 32 = 0 and circle D has equation x2 + y2 = 9. Calculate the distance between the centre of circle C and the centre of circle D.
c. Using your answer to part b, or otherwise, prove that circles C and D do not touch.
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a To write the equation in the form x a2 y b2 r2 we need to complete the square for both x and y terms Given equation x2 y2 10x 8y 32 0 Rearranging te...View the full answer
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Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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