In the figure, O is the centre of the circle with radius r and P(a,b) is a point on the circle. AB is the diameter of the circle. a) Prove that a2+b2=r2 b) Prove by the analytic approach that AP is perpendicular to PB.
In the figure, O is the centre of the circle with radius r and P(a,b) is a point on the circle. AB is the diameter of the circle. a) Prove that a2+b2=r2 b) Prove by the analytic approach that AP is perpendicular to PB.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In the figure, O is the centre of the circle with radius r and P(a,b) is a point on the circle. AB is the diameter of the circle.
a) Prove that a2+b2=r2
b) Prove by the analytic approach that AP is perpendicular to PB.
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