The equation of circle passing through the points of intersection of circles ${x^2} + {y^2} - 6x + 8 = 0$ and ${x^2} + {y^2} = 6$ and point $(1, 1)$, is
The equation of circle passing through the points of intersection of circles ${x^2} + {y^2} - 6x + 8 = 0$ and ${x^2} + {y^2} = 6$ and point $(1, 1)$, is
- [IIT 1980]
- A
${x^2} + {y^2} - 6x + 4 = 0$
- B
${x^2} + {y^2} - 3x + 1 = 0$
- C
${x^2} + {y^2} - 4y + 2 = 0$
- D
None of these
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The equation of the circle which passes through the intersection of ${x^2} + {y^2} + 13x - 3y = 0$and $2{x^2} + 2{y^2} + 4x - 7y - 25 = 0$ and whose centre lies on $13x + 30y = 0$ is
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- [IIT 1998]
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