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AB is a diameter of a circle and C is any point on the circle. Show that the area of △ABC is maximum, when it is isosceles.

+3 votes

asked Jan 31, 2019 in Class 12 by kratos

AB is a diameter of a circle and C is any point on the circle. Show that the area of △ABC is maximum, when it is isosceles.

applications of derivatives
cbse
maxima
minima
class-12

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1 Answer

+5 votes

answered Feb 10, 2021 by kratos

Best answer

Let the sides of rt. △ABC be x and y.

. .. x2 + y2 = 4r2

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