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

Show that the joining (2,-5) and (-2, 5) is perpendicular to the linej

1.	Show that the joining (2,-5) and (-2, 5) is perpendicular to the linejoining (6,3) and (1,1).
Answer» Let A(2,-5), B(-2,5),C(6,3) and D(1,1) be the given points. let `m_(1) and m_(2)` bet the slopes of AB and CD respectively. Then, `m_(1)="slope of AB"=(5-(-5))/(-2-2)=(10)/(4)=-(5)/(2)` `m_(2)="slope of CD"=(1-3)/(1-6)=(-2)/(-5)=(2)/(5)` `therefore m_(1)m_(2)=((-5)/(2))xx(2)/(3)=-1` Hence, `AB"perpendicular"CD`

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

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