From the top of a 60m high building, the angles of depression of the top and the bottom of a tower are 45° and 60° respectively. Find the height of the tower. [Take √3 = 1.73]

Find the value of p so that the quadratic equation px (x – 3) + 9 = 0 has equal roots.

The sum of the first seven terms of an A.P. is 182. If its 4^th and the 17^th terms are in the ratio 1: 5, find the A.P.

Find a point P on the y-axis which is equidistant from the points A (4, 8) and B (-6, 6). Also, find the distance AP.