Find the point on the circle x^2 + y^2 - 4x - 6y + 9 = 0 such that

MATHEMATICS · Multi-part · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

Find the point PP on the circle x2+y2−4x−6y+9=0 such thatx^2 + y^2 - 4x - 6y + 9 = 0 \text{ such that} (i) ∠POX\angle POX is minimum, (ii) OPOP is maximum, when OO is the origin and OXOX is the XX-axis.

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