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  • The image of the centre of the circle with respect to the

The image of the centre of the circle \mathrm{x^2+y^2=2 a^2} with respect to the line \mathrm{x+y=1} is
 

Option: 1

(\sqrt{2}, \sqrt{2})


Option: 2

\left(\frac{1}{\sqrt{2}}, \sqrt{2}\right)


Option: 3

\left(\sqrt{2}, \frac{1}{\sqrt{2}}\right)


Option: 4

 none of these
 


Answers (1)

best_answer

Centre of the circle is (0,0)


Let \mathrm{A} is the image of the origin in the line \mathrm{x+y=1}
\begin{aligned} & \mathrm{O B=\frac{1}{\sqrt{2}} \Rightarrow O A=\sqrt{2}} \\ \therefore \quad & \mathrm{A \equiv(1,1)} \end{aligned}

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