The points R and S lie on a circle with centre C(a, 2), as shown in the

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The points R and S lie on a circle with centre C(a, −2), as shown in the diagram. The point R has coordinates (2, 3) and the point S has coordinates (10, 1). M is the midpoint of the line segment RS. The line l passes through M and C.

a. Find an equation for l.

b. Find the value of a.

c. Find the equation of the circle.

d. Find the points of intersection, A and B, of the line l and the circle.

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Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

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Question Posted: Jul 14, 2023 11:51 PM

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The points R and S lie on a circle with centre C(a, 2), as shown in the

Question:

YA R(2, 3) C(a, -2) B M A S(10, 1) X

Step by Step Answer:

a To find the equation for line l passing through the midpoint M and center C we first need to find the coordinates of M The midpoint of RS can be fou...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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