Show that the lines and are at right angles.

Given : the lines and .


To prove : the lines are at right angles.


Formula used : If the lines are = = and = =


then the angle between the lines ‘θ’ is given by


θ =


The lines and .


Here p = 7 , q = -5 , r = 1 and l = 1 , m = 2 , n = 3


θ = =


θ = = = 90°


θ = 90°


The Lines and are at right angles.


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