AD is a diameter of a circle and AB is a chord.If AD=34cm,AB=30cm,distance of AB from the center of the circle is

The area of the largest triangle that can be inscribed in a semi-circle of radius r is²

Let a,b ,c be the sides of a right triangle,where c is the hypotenuse.The radius of the circle which touches the sides of the triangle is

The angles of a triangle are in the ratio 4:1:1.Then the ratio of largest side to the perimeter is

If the height of a right circular cone is increased by 200% and radius of the base is decreased by 50%,then the volume of the cone

A cylindrical vassel of radius 4m contains water.A solid sphere of radius 3m is lowered into water until it is completely immersed.Water level in the vessel will rise by