The radius of a sphere is equal to radius of the base of a right circular cone,and the volume of sphere is double the volume of cone.The ratio of height of cone to radius of the base is

A sphere and a cube have the same surface area.The ratio of square of their volumes is π

Two circles,each of radius r,with centres P and Q,are such that each circle passes through the centre of the other circle.Then the area common to the circles is less than one-third of sum of areas of the two circles by 

The area of a rhombus with side 13cm and one diagonal 10cm will be

A triangle ABC is inscribed in a circle.If the sum of squares of sides of a triangle is equal to twice the square of diameter then sin²A+sin²B+sin²C is equal to

Consider the following statements

1.There exists no value of x such that 1/(1-sinx)=4+2√3,0<x<π/2

2. sin x=3^sin²x does not hold for any real x