The lines $x + y = 6$ and $x - y = 2$ are perpendicular to each other.

True

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False

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Solution

The correct option is A True
Given the equations of the lines are $x + y = 6$ or, $y = - x + 6$ and $x - y = 2$ or, $y = 2 + x$ .
So slope of the line first line is $m_{1} = - 1$ and that of second line is $m_{2} = 1$ .
As $m_{1} . m_{2} = - 1$ .
So the lines are perpendicular to each other.

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