The line 2y x = 12 intersects the circle x 2 + y 2 10x

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The line 2y − x = 12 intersects the circle x² + y² − 10x − 12y + 36 = 0 at the points A and B.
a. Find the coordinates of the points A and B.

b. Find the equation of the perpendicular bisector of AB.

c. The perpendicular bisector of AB intersects the circle at the points P and Q.
Find the exact coordinates of P and Q.

d. Find the exact area of quadrilateral APBQ.

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 09, 2023 05:43 AM

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The line 2y x = 12 intersects the circle x 2 + y 2 10x

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a To find the coordinates of the points A and B we can substitute 2y x 12 into x2 y2 10x 12y 36 0 an...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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