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  • The intercept on the line by the circle <img alt="\mathrm{x^{2}+y^{2}-2 x=0}" src="https://entr

The intercept on the line \mathrm{y=x} by the circle \mathrm{x^{2}+y^{2}-2 x=0} is \mathrm{A B}.Equation of the circle with \mathrm{A B} as a diameter is:  

Option: 1

\mathrm{x^{2}+y^{2}+x+y=0}


Option: 2

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


Option: 3

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


Option: 4

 none of these


Answers (1)

best_answer

The line \mathrm{x=y} intersect the circle \mathrm{x^{2}+y^{2}-2 x=0} at (0,0)$ and $(1,1)

Hence equation of required circle is \mathrm{(x-0)(x-1)+(y-0)(y-1)=0}

Hence (B) is the correct answer.

 

Posted by

vishal kumar

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