The common chord of the circle \( x^{2}+y^{2}+6 x+8 y-7=0 \) and a circle passing through the or...

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The common chord of the circle \( x^{2}+y^{2}+6 x+8 y-7=0 \) and a circle passing through the origin, the touching the line \( y=x \), always passes through the point
(a) \( (-1 / 2,1 / 2) \)
(b) \( (1,1) \)
(c) \( (1 / 2,1 / 2) \)
(d) none of these
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