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The number of common tangent to two circ...

The number of common tangent to two circle `x ^(2) +y^(2) =4 and x^(2) +y^(2) -8x+12=0` is-

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The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(2)+y^(2)-6x-8y=24 is

The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(2)+y^(2)-6x-8y=24 is

Statement 1 : The number of common tangents to the circles x^(2) +y^(2) -x =0 and x^(2) +y^(2) +x =0 is 3. Statement 2 : If two circles touch each other externally then it has two direct common tangents and one indirect common tangent.

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The number of common tangents to the circles x^(2)+y^(2)=4, x^(2)+y^(2)-8x+12=0 is