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" The number of common tangents to "x^(2...

" The number of common tangents to "x^(2)+y^(2)=256,(x-3)^(2)+(y-4)^(2)=121" is "

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Statement 1 : The number of common tangents to the circles x^(2) + y^(2) =4 and x^(2) + y^(2) -6x - 6y = 24 is 3. Statement 2 : If two circles touch each other externally thenit has two direct common tangents and one indirect common tangent.