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  • A circle which touches both the axes and whose centre is at a distance of n

A circle which touches both the axes and whose centre is at a distance of \mathrm{3 \sqrt{2}}  from the origin, has the equation
 

Option: 1

\mathrm{x^2+y^2-6 x-6 y+9=0}

 


Option: 2

\mathrm{x^2+y^2-6 x+6 y+9=0}
 


Option: 3

\mathrm{x^2+y^2+6 x-6 y+9=0}

 


Option: 4

None of these.


Answers (1)

best_answer

The circle \mathrm{x^2+y^2+a x+a y+a^2=0} touches both the axes. Its centre is \mathrm{(-a,-a)\: a^2+a^2=18 \Rightarrow a= \pm 3}

Hence option 1 is correct.

Posted by

Rakesh

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