Statement I : The only circle having radius

Question:

Statement I : The only circle having radius $\sqrt{10}$ and a diameter along line $2 x+y=5$ is $x^{2}+y^{2}-6 x+2 y=0$.

Statement II : $2 \mathrm{x}+\mathrm{y}=5$ is a normal to the circle $\mathrm{x}^{2}+\mathrm{y}^{2}-6 \mathrm{x}+2 \mathrm{y}=0$.

  1.  Statement I is false, Statement II is true

  2.  Statement I is true ; Statement II is false.

  3.  Statement I is true, Statement II is true, Statement II is not a correct explanation for

        Statement I.

  4.  Statement I is true : Statement II is true ; Statement II is a correct explanation for

        Statement I.


Correct Option: 1

Solution:

 Normal passes through centre of circle but there can be more then one circle.

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