P is the point (a, a 2) and Q is the point (4 3a, a).

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P is the point (a, a − 2) and Q is the point (4 − 3a, −a).

a. Find the gradient of the line PQ.

b. Find the gradient of a line perpendicular to PQ.

c. Given that the distance PQ is 10√5 , find the two possible values of a.

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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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P is the point (a, a 2) and Q is the point (4 3a, a).

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a To find the gradient of the line PQ we need to first find the coordinates of th...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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