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[" Find the equation of the circle whose...

[" Find the equation of the circle whose centre is the point of intersection of the lines "2x-3y+4=0],[3x+4y-5=0" and passes through the origin."]

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Find the equation of the circle whose centre is the point of intersection of the lines 2x-3y+4=0and3x+4y-5=0 and passes through the origin.

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(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.