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JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

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Analyzing +4 | -1
The point (3,−4)\left( {3, - 4} \right) lies on both the circles x2+y2−2x+8y+13=0{x^2} + {y^2} - 2x + 8y + 13 = 0 and x2+y2−4x+6y+11=0{x^2} + {y^2} - 4x + 6y + 11 = 0. Then, the angle between the circles is
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Correct option: D
450{45^0}
Option D (450{45^0}) is correct because it is the angle between the circles, calculated using the formula involving the distance between centers and the radii.

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