The maximum number of common tangents that can be drawn to two disjoint circles is

If tan θ = tan 30° . tan 60° and θ is an acute angle , then 2θ is equal to

In the given figure, PQR is a triangle in which, PQ = 24 cm, PR = 12 cm and altitude PS = 8 cm. If PT is the diameter of the circum- circle, then what id the length (in cm) of circum-radius ?

If the length of a chord of a circle is equal to that of the radius of the circle, then the angle subtended, in radians, at the centre of the circle by chord is

A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?