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JEE Main202117 Mar 2021Morning ShiftMathematicsCircleActual

The minimum distance between any two points P 1 and P 2 while considering point P 1 on one circle and point P 2 on the other circle for the given circles' equations x 2 + y 2 - 10 x - 10 y + 41 = 0 x 2 + y 2 - 24 x - 10 y + 160 = 0 is ________

Correct answer

0

Step-by-step solution

Given C 1 ( 5 , 5 ) ,   r 1 = 3 and C 2 ( 12 , 5 ) ,   r 2 = 3 C 1 C 2 = 7 Now, C 1 C 2 > r 1 + r 2 Thus, P 1 P 2 min = 7 - 6 = 1

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