Mathematics

Mathematics

Problem

The locus of the centre of a circle, which touches externally the circle x2+y2−6x−6y+14=0x^2 + y^2 - 6x - 6y + 14 = 0 and also touches the YY-axis, is given by the equation (a) x2−6x−10y+14=0x^2 - 6x - 10y + 14 = 0 (b) x2−10x−6y+14=0x^2 - 10x - 6y + 14 = 0 (c) y2−6x−10y+14=0y^2 - 6x - 10y + 14 = 0 (d) y2−10x−6y+14=0y^2 - 10x - 6y + 14 = 0

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