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JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

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The equation of the common tangent of the two touching circles, y2+x2−6x−12y+37=0{y^2} + {x^2} - 6x - 12y + 37 = 0 and x2+y2−6y+7=0{x^2} + {y^2} - 6y + 7 = 0 is
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Correct option: C
x−y−5=0x - y - 5 = 0
Option C (x−y−5=0x - y - 5 = 0) is correct because it is the equation obtained by subtracting the equations of the two circles.

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