The diagram shows a triangle ABC in which A is (3, 2) and B is (15, 22).

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The diagram shows a triangle ABC in which A is (3, −2) and B is (15, 22). The gradients of AB, AC and BC are 2m, −2m and m respectively, where m is a positive constant.

i. Find the gradient of AB and deduce the value of m.

ii. Find the coordinates of C.

The perpendicular bisector of AB meets BC at D.

iii. Find the coordinates of D.

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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 diagram shows a triangle ABC in which A is (3, 2) and B is (15, 22).

Question:

y с 0 A (3,-2) B (15, 22) X

Step by Step Answer:

i The gradient of AB is given by gradient of AB change in y change in x 22 2 15 3 24 12 2 But we als...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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