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  4. Number of common tangents of the circles (x+2)2+(y-2)2=49 and (x-2)2+(y+1)2=4 is:

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Q. Number of common tangents of the circles $(x+2)^2+(y-2)^2=49$ and $(x-2)^2+(y+1)^2=4$ is:

Conic Sections

Solution:

$C_1 C_2=5, r_1=7, r_2=2$
image
$C_1 C_2=\left|r_1-r_2\right| \Rightarrow$ one common tangent