Let ΔABC ∼ Δ PQR and ar(∆ABC)/ar(∆PQR) =4/25. If AB = 12 cm, BC = 8 cm and AC = 9 cm, then QR is equal to:

What can be the maximum number of common tangent, which can be drawn to two non-intersecting circles? 

The ratio of circumradius and hypotenuse a right-angled triangle is

A wire is in the shape of a rectangle. Its length is 42.7m and breadth is 21.8m. If the same wire is re-bent in the shape of a square, what will be the measure of the side of the square?

Triangle PQR is inscribed in a circle such that P, Q and R lies on the circumference . If PQ is the diameter of the circle and ∠PQR = 40 ° , then what is the value ( in degrees ) of ∠QPR ?

If one of the equal angles of an isosceles triangle is 65°, then the angle at the vertex is

If the ratio of the heights of two identical triangles is 4: 9, find the ratio of the areas of the two triangles.

'G' is centroid of ΔABC if AG = BC then find ∠BGC.