A square is inscribed in a right-angled triangle with legs p and q, and has a common right angle with the triangle. The diagonal of the square is given by
A tangent is drawn from an external point O to a circle of radius 3 units at P such that OP = 4 units. If C is the centre of the circle, then the sine of the angle COP is
ABC and DEF are similar triangles. If the ratio of side AB to side DE is (√2+1) : √3, then the ratio of area of triangle ABC to that of triangle DEF is
Four equal discs are placed such that each one touches two others. If the area of empty space enclosed by them is 150/847 square centimetre, then the radius of each disc is equal to
The base of an isosceles triangle is 300 units and each of its equal sides is 170 units. Then the area of the triangle is
The number of rounds that a wheel of diameter 7/11 metre will make in traversing 4 km will be