Let $L$ be the line $y = 2 x$, in the two dimensional plane. Statement 1: The image of the point $( 0,1 )$ in $L$ is the point $\left( \frac { 4 } { 5 } , \frac { 3 } { 5 } \right)$. Statement 2: The points $( 0,1 )$ and $\left( \frac { 4 } { 5 } , \frac { 3 } { 5 } \right)$ lie on opposite sides of the line $L$ and are at equal distance from it. (1) Statement 1 is true, Statement 2 is false. (2) Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1. (3) Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1. (4) Statement 1 is false, Statement 2 is true.
Let $L$ be the line $y = 2 x$, in the two dimensional plane. Statement 1: The image of the point $( 0,1 )$ in $L$ is the point $\left( \frac { 4 } { 5 } , \frac { 3 } { 5 } \right)$. Statement 2: The points $( 0,1 )$ and $\left( \frac { 4 } { 5 } , \frac { 3 } { 5 } \right)$ lie on opposite sides of the line $L$ and are at equal distance from it.\\
(1) Statement 1 is true, Statement 2 is false.\\
(2) Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.\\
(3) Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.\\
(4) Statement 1 is false, Statement 2 is true.