CircleHard

Question

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

Options

A.the area of ᐃ ABC is maximum when it is isosceles
B.the area of ᐃ ABC is minimum when it is isosceles
C.the perimeter of ᐃ ABC is minimum when it is isosceles
D.None of the above

Solution

       
Clearly, ∠C = 90o as angle in semicircle is right angled.
Now area of ᐃ is maximum ehen AC = BC
ie, Triangle is right angled isosceles.

Create a free account to view solution

View Solution Free
Topic: Circle·Practice all Circle questions

More Circle Questions

If the lines a1 x + b1 y + c1 = 0 and a2 x + b2 y + c2 = 0 cut the coordinate axes in concyclic points, then -...The intercepts made by the circle x2 + y2 _ 5x _ 13y _ 14 = 0 on the x-axis and y-axis are respectively...The number of common tangents of the circles x2 + y2 - 2x - 1 = 0 and x2 + y2 - 2y - 7 = 0 -...The focal chord to y2 = 16x is tangent to (x - 6)2 + y2 = 2, then the possible values of the slope of this chord are:-...If (a cos θi, a sin θi)i = 1, 2, 3 represent the vertices of an equilateral triangle inscribed in a circle, th...