Home
Class 12
MATHS
AB is a diameter of a circle and C is an...

AB is a diameter of a circle and C is any point on the circumference of the circle. Then (a) the area of `DeltaABC` is maximum when it is isosceles (b) the area of `DeltaABC` is minimum when it is isosceles (c) the perimeter of `DeltaABC` is minimum when it is isosceles (d) none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

If A(5,5) ,B(-5,1) ,C(10,7) lie in a straight line, the area of DeltaABC is ……….

Line PQ is a tangent to the circle at point AB ~= arc AC. Complete the following activity to prove DeltaABC as isosceles triangle.

Given A(1,1,1) , B(1, 2, 3) and C(2, 3, 1) are the vertices of DeltaABC . Find the area of DeltaABC .

If all the vertices of a triangle have integral coordinates, then the triangle may be (a) right-angled (b) equilateral (c) isosceles (d) none of these

If cos^2A+cos^2B+cos^2C=1,t h e n A B C is (a)equilateral (b) isosceles (c)right angles (d) none of these

Find the rate of change of the area of a circle with respect to its radius r when (a) r=3 cm " " (b) r=4 cm

DeltaABC is an isosceles triangle in which AB = AC. Show that /_ B = /_ C.

In a A B C ,/_B=90^0 and b+a=4. The area of the triangle is maximum when /_C is (a) pi/4 (b) pi/6 (c) pi/3 (d) none of these

The sum of the perimeter of a circle and square is k, where k is some constant. Prove that the sum of their areas is least when the side of square is double the radius of the circle.

In a "DeltaA B C"," "/_"C"=60" "&\ /_A=75. If D is a point on A C such that area of the "DeltaB A D" is sqrt(3) times the area of the "DeltaB C D", then the /_"A B D"= 60^0 (b) 30^0 (c) 90^0 (d) none of these