Question:

AB is a diameter of a circle and C is any point on the circumference of the circle. Then,

Updated On: Jun 14, 2022
  • the area of $?$ ABC is maximum when it is isosceles
  • the area of $?$ ABC is minimum when it is isosceles
  • the perimeter of $?$ ABC is minimum when it is isosceles
  • None of the above
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The Correct Option is A

Solution and Explanation

Clearly, $\angle {C}= {90}^\circ $ as angle in semi-circle is right angled.
Now, area of triangle is maximum when A C = BC.
i.e. Triangle is right angled isosceles.
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