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(i) A circle whoe centre is the point of...

(i) A circle whoe centre is the point of intersection of the line 2x - 3y + 4 - 0 and 3x + 4y - 5 = 0 passes through the origin. Find its equation.
(ii) Find the equation of the circle passing through the point (1,-1) and centre at the intersection of the lines (x -y) = 4 and 2x + 3y = -7.

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The correct Answer is:
`x^(2) + y^(2) - 2x + 6y + 6 = 0 `
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