The equation of a curve is xy = 12 and the equation of a line is 3x

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The equation of a curve is xy = 12 and the equation of a line is 3x + y = k, where k is a constant.
a. In the case where k = 20, the line intersects the curve at the points A and B.

Find the midpoint of the line AB.

b. Find the set of values of k for which the line 3x + y = k intersects the curve at two distinct points.

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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 03:37 AM

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The equation of a curve is xy = 12 and the equation of a line is 3x

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a To find the midpoint of the line AB we first need to find the coordinates of points A and B We kno...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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