self Maths Puzzle

If 2y cos theta=x sin theta and 2x sec theta -y cosec theta=3, then the relation between x and y is

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self Other Question

If sin^2theta=cos^3 theta, then the value of (cot^theta-cot^2theta)is A and B are centres of the two circles whose radii anre 5cm and 2cm respectively. The direct common tangents to the circles meet AB extended at P. Then P divides AB