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

Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry

AB is a diameter of a circle and C is any point on the circumference of the circle. Then
  1. the area of ∆ ABC is maximum when it is isosceles
  2. the area of ∆ ABC is minimum when it is isosceles
  3. the perimeter of ∆ABC is minimum when it is isosceles
  4. none of these

Answer

(A) the area of ∆ ABC is maximum when it is isosceles

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