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OCR A Level: Further Pure 2 - Polar Coordinates [June 2013 Q8]

The equation of a curve is x2+y2x=x2+y2x^2+y^2-x=\sqrt{x^2+y^2}.

(i)(\text{i}) Find the polar equation of the curve in the form r=f(θ)r=f(\theta).
(ii)(\text{ii}) Sketch the curve.
(iii)(\text{iii}) The line x+2y=2x+2y=2 divides the region enclosed by the curve into two parts. Find the ratio of the two areas. (If the ratio is a:ba:b in its simplest form, input a+ba+b as your answer.)

There are 3 marks available for part (i), 2 marks for part (ii) and 6 marks for part (iii). In total, this question is worth 15.3% of all available marks in the paper.

This is part of the set OCR A Level Problems.


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