Answer :

To Find: Find the value of x ?


The concept used: If two line is perpendicular then, the product of their slopes is – 1.


Explanation: We have two lines having point A(– 2,6) and B(4,8) and other line having points C(8,12) and D(x,24).


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


Now, The slope of Line AB is, mAB =


mAB =


and, The slope of Line CD is, mCD =


mCD =


We know the product of the slopes of perpendicular line is always – 1. Then,


mAB × mCD = – 1


= – 1



x – 8 = – 4


x = – 4 + 8


x = 4


Hence, The value of x is 4.


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