Quadratic Functions, Equations and Inequalities - Maximum and Minimum Values of General Quadratic Functions
Quadratic Functions, Equations and Inequalities - Maximum and Minimum Values of General Quadratic Functions
IP 3
It is given that the \(P\), \(Q\), \(R\) and \(S\) are points on the circumference of the the circle \(C : x^2 + y^2 = r^2\), such that the quadrilateral \(PQRS\) is a rectangle. Find the maximum area of rectangle \(PQRS\) in terms of \(r\). Show your working clearly.
Solution:
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Answer:Maximum area \(2r^2\), attained by a square of side \(\sqrt2\,r\).
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