Find the value of x in each of the following:
cosec 3x = cot 30° + cot 60°1 + cot 30° cot 60°
(b) The coordinates of the points P and Q are respectively (4, -3) and
(-1, 7). Find the abscissa of a point R on the line segment PQ such
that PRPQ = 35.
(c) . In a triangle ABC, P divides the sides AB such that AP : PB = 1 : 2, Q is a point on AC such that PQ ‖ BC.
Find the ratio of the areas of ΔAPQ and trapezium BPQC.
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