The points A, B and C have coordinates A(2, 8), B(9, 7) and C(k, k 2).

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The points A, B and C have coordinates A(2, 8), B(9, 7) and C(k, k − 2).

a. Given that AB = BC, show that a possible value of k is 4 and find the other possible value of k.

b. For the case where k = 4, find the equation of the line that bisects angle ABC.

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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 05:42 AM

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The points A, B and C have coordinates A(2, 8), B(9, 7) and C(k, k 2).

Question:

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a Since AB BC we have 9 22 7 82 k 92 k 2 72 Simplifying this equation we get 74 k 92 k 92 74 2k 92 3...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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