A curve has equation xy = 20 and a line has equation x + 2y = k,

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A curve has equation xy = 20 and a line has equation x + 2y = k, where k is a constant.

a. In the case where k = 14, the line intersects the curve at the points A and B.

Find:

i. The coordinates of the points A and B.

ii. The equation of the perpendicular bisector of the line AB.

b. Find the values of k for which the line is a tangent to the curve.

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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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A curve has equation xy = 20 and a line has equation x + 2y = k,

Question:

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a i To find the coordinates of points A and B we need to solve the system of equations given by the ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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