AP EAMCET201921 Apr 2019Morning ShiftMathematicsCircleActual

If the circles x^2+y^2+2 x+2=0 and x^2+y^2+4 y+2=0 touch each other, then =

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Correct answer

B. 2

Step-by-step solution

The centres of the two circles are C₁(- , 0) and C₂(0,-2) and their radii are ^2-2 and 2 . So, the two circles will touch each other, if array ll C₁ C₂= sum of radii & ^2+4 = ^2-2 + 2 & ^2+4= ^2-2+2+2 2 ^2-2 & 4=2 2 ^2-2 2 = ^2-2 & 2= ^2-2 ^2=4 = 2 array

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