A, B, C, D are four points on a circle. AC and BD interest at a point E such that ∠BEC = 1300 and ∠ECD = 200. Then, ∠BAC is
A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is
If O be the circumcentre of a ΔPQR and ∠QOR = 1100, ∠OPR = 250, then the measure of ∠PRQ is
N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B is
The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that
If G is the centroid of ΔABC and ΔABC = 48 cm2, then the area of ΔBGC is