The average age of a batch of 19 members is 24 years. If the age of the faculty be included, then the average increases by 4 months. What is the age of the faculty?
D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 1:2 and area of ΔABC is 45 sq cm, what is the area (in sq cm) of quadrilateral BDEC?
The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?
Two circles of same radius intersect each other at P and Q. If the length of the common chord is 30 cm and distance between the centres of the two circlesis 40 cm, then what is the radius (in cm) of the circles?