Statement 1: The only circle having radius $\sqrt { 10 }$ and a diameter along line $2x + y = 5$ is $x ^ { 2 } + y ^ { 2 } - 6x + 2y = 0$. Statement 2: $2x + y = 5$ is a normal to the circle $x ^ { 2 } + y ^ { 2 } - 6x + 2y = 0$. (1) Statement 1 is false; Statement 2 is true. (2) Statement 1 is true; Statement 2 is true, Statement 2 is a correct explanation for Statement 1. (3) Statement 1 is true; Statement 2 is false. (4) Statement 1 is true; Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.
Statement 1: The only circle having radius $\sqrt { 10 }$ and a diameter along line $2x + y = 5$ is $x ^ { 2 } + y ^ { 2 } - 6x + 2y = 0$. Statement 2: $2x + y = 5$ is a normal to the circle $x ^ { 2 } + y ^ { 2 } - 6x + 2y = 0$.\\
(1) Statement 1 is false; Statement 2 is true.\\
(2) Statement 1 is true; Statement 2 is true, Statement 2 is a correct explanation for Statement 1.\\
(3) Statement 1 is true; Statement 2 is false.\\
(4) Statement 1 is true; Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.