Q.

If 2x+3y−6=0 and 9x+6y−18=0 cuts the axes in concyclic points, then the centre of the circle, is

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a

(2, 3)

b

(3, 2)

c

(5, 5)

d

(5/2, 5/2)

answer is D.

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Detailed Solution

The equation of the circle passing through the points of intersection of the lines 2x+3y−6=0 and 9x+6y−18=0 with the coordinate axes is(2x+3y−6)(9x+6y−18)−(2×6+9×3)xy=0⇒x2+y2−5x−5y+6=0The coordinates of the centre are (5/2,5/2).
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