Statement 1 : If $-2h=a+b,$ then one line of the pair of lines $a{x}^2+2hxy+b{y}^2=0$ bisects the angle between the coordinate axes in the positive quadrant. Statement 2 : If $ax+y\left(2h+a\right)=0$ is a factor of $a{x}^2+2hxy+b{y}^2=0,$ then $b+2h+a=0$ Both the statements are true but statement 2 is the correct explanation of statement 1. Both the statements are true but statement 2 is not the correct explanation of statement 1. Statement 1 is true and statement 2 is false. Statement 1 is false and statement 2 is true.

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