Q. 7 If two medians BE and CF of a triangle ABC, intersect each other at G and if BG = CG, ∠BGC = 60° and BC = 8 cm, then the area of the triangle ABC is

Q. 8 Two circles touch each other externally. The sum of their areas is 130 π sq. cm and the distance between their centres is 14 cm. The radius of the smaller circle is

Q. 9 The time required for a boy to travel along the external and internal boundaries of a circular path are in the ratio 20 : 19. If the width of the path be 5 meters, the internal diameter is

Q. 13 A plate on a square base made of brass is of length x cm and width 1 mm. The plate weighs 4725 gm. If 1 cubic cm of brass weighs 8.4 gram, then the value of x is

Q. 18 Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP : PB is 2:5, and the area of Δ APQ is 4 sq cm, what is the area of trapezium PQCB?

(A) 49 sq cm (B) 45 sq cm (C) 25 sq cm (D) 21 sq cm