Let $\theta _ { 1 }$ be the angle between two lines $2 x + 3 y + c _ { 1 } = 0$ and $- x + 5 y + c _ { 2 } = 0$ and $\theta _ { 2 }$ be the angle between two lines $2 x + 3 y + c _ { 1 } = 0$ and $- x + 5 y + c _ { 3 } = 0$, where $c _ { 1 } , c _ { 2 } , c _ { 3 }$ are any real numbers: Statement-1: If $c _ { 2 }$ and $c _ { 3 }$ are proportional, then $\theta _ { 1 } = \theta _ { 2 }$. Statement-2: $\theta _ { 1 } = \theta _ { 2 }$ for all $c _ { 2 }$ and $c _ { 3 }$. (1) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation of Statement-1. (2) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation of Statement-1. (3) Statement-1 is false; Statement-2 is true. (4) Statement-1 is true; Statement-2 is false.
Let $\theta _ { 1 }$ be the angle between two lines $2 x + 3 y + c _ { 1 } = 0$ and $- x + 5 y + c _ { 2 } = 0$ and $\theta _ { 2 }$ be the angle between two lines $2 x + 3 y + c _ { 1 } = 0$ and $- x + 5 y + c _ { 3 } = 0$, where $c _ { 1 } , c _ { 2 } , c _ { 3 }$ are any real numbers: Statement-1: If $c _ { 2 }$ and $c _ { 3 }$ are proportional, then $\theta _ { 1 } = \theta _ { 2 }$. Statement-2: $\theta _ { 1 } = \theta _ { 2 }$ for all $c _ { 2 }$ and $c _ { 3 }$.\\
(1) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation of Statement-1.\\
(2) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation of Statement-1.\\
(3) Statement-1 is false; Statement-2 is true.\\
(4) Statement-1 is true; Statement-2 is false.