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