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5. The point (4,-2) lies on the circumference of a given circle. Points P(3, 1) and Q(4,-1) lie outside the circle and the centre of the circle lies on PO, with P between the centre and O in the ratio 3:2. Find the (i) coordinates of the centre of the circle; (ii) radius of the circle; (iii) equation of the circle.

5. The point (4,-2) lies on the circumference of a given circle. Points P(3, 1) and Q(4,-1) lie outside the circle and the centre of the circle lies on PO, with P between the centre and O in the ratio 3:2. Find the (i) coordinates of the centre of the circle; (ii) radius of the circle; (iii) equation of the circle.

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.CR: Chapter Review
Problem 4CC
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Please solve this math problem. cog 2 Q5
5. The point (4, -2) lies on the circumference of a given circle. Points P(3, 1) and Q(4,-1) lie outside the circle and the centre of the circle lies on PO, with P between the centre and O in the ratio 3:2. Find the (i) coordinates of the centre of the circle; (ii) radius of the circle; (iii) equation of the circle.
Transcribed Image Text:5. The point (4, -2) lies on the circumference of a given circle. Points P(3, 1) and Q(4,-1) lie outside the circle and the centre of the circle lies on PO, with P between the centre and O in the ratio 3:2. Find the (i) coordinates of the centre of the circle; (ii) radius of the circle; (iii) equation of the circle.
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