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  • The circles <img alt="\mathrm{x^{2}+y^{2}+6 x+6 y=0\: and \: x^{2}+y^{2}-12 x-12 y=0}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bx%5E%7B2%7D&plus;y%5E%7B2%7D&plus;6%2

The circles \mathrm{x^{2}+y^{2}+6 x+6 y=0\: and \: x^{2}+y^{2}-12 x-12 y=0}

Option: 1

touch each other internally


Option: 2

touch each other externally


Option: 3

intersect in two points


Option: 4

cut orthogonally


Answers (1)

best_answer

Centres of circles are (-3,-3)$ and $(6,6) and radii are 3 \sqrt{2}$ and $6 \sqrt{2}.

So \mathrm{C_{1} C_{2}=r_{1}+r_{2}}

Hence (A) is the correct answer.

Posted by

Pankaj Sanodiya

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