Chapter 7 co-ordinate geometry question if …
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Ram Kushwah 6 years, 7 months ago
Let the coordinates of A(x1,y1),B(x2,y2),C(x3,y3)
Let the given points are at P(-1,2), Q(-6,5) and R(3,4)
So P is mid point of AB
so x1+x2/2=-1
x1+x2=-2----------------(1)
Similarly
x2+x3=-6*2=-12--------------(2)
and x3+x1=2*3=6-------------(3)
adding all three eqn we get
2*(x1+x2+x3)=-8
x1+x2+x3=-4
from (1)
x1+x2+x3-(x1+x2)=-4-(-2)=-2
x3=-2
From(2)
x1+x2+x3-(x2+x3)=-4-(-12)=8
x1=8
then x2=x1+x2+x3-(x1+x3)=-4-(8-2)=-4-6=-10
so x coordinates of A,B, C are 8,-10 and -2
similarly you can find y coordinates of A,B and C
1Thank You