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

If sin x +cos x=c then (sin ^6)x+(cos^6)x=²

From the top of a tower,angles of depression of two objects P and Q seperated at a distance of 100(3-√3) are 45° and 60° respectively.The height of the tower is