Q. 94.4( 7 Votes )

Show that the line joining (2, – 5) and (– 2, 5) is perpendicular to the line joining (6, 3) and (1,1).

Answer :

To Prove: The Given line is perpendicular to each other.


Proof: Let Assume the coordinate A(2, – 5) and B(– 2, 5) joining the line AB, C(6,3) and D(1,1) joining the line CD.


The concept used: The product of the slopes of lines always – 1.


The formula used: The slope of the line, m =


Now, The slope of AB =


The Slope of AB =


Now, The slope of CD =


The Slope of AB =


So, AB × CD =


AB × CD = – 1


Hence, The given Lines are perpendicular to each other.


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