JEE Advance - Mathematics (1983 - No. 41)
$$AB$$ is a diameter of a circle and $$C$$ is any point on the circumference of the circle. Then
the area of $$\Delta ABC$$ is maximum when it is isosceles
the area of $$\Delta ABC$$ is minimum when it is isosceles
the perimeter of $$\Delta ABC$$ is minimum when it is isosceles
none of these