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Question
If the points A(x,2), B(-3, -4) and C(7, -5) are collinear then the value of x is
(a) -63 (b) 63 (c) 60 (d)-60
If the points A(x,2), B(-3, -4) and C(7, -5) are collinear then the value of x is
(a) -63 (b) 63 (c) 60 (d)-60
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Solution
Three points are collinear if the value of area of triangle formed by the three points is zero.
Given
A(x, 2) B(-3,-4) c(7,-5)
x1=x y1=2
x2=-3 y2=-4
x3=7 y3=-5
if the points are confident the the area of ΔABC is equal to zero.
ar ΔABC = 0
1/2[x(-4-(-5))+(-3)(-5-2)+7(2-(-4)]=0
[x(1)+21+42]=0
(x+63)=0
x=-63
Given
A(x, 2) B(-3,-4) c(7,-5)
x1=x y1=2
x2=-3 y2=-4
x3=7 y3=-5
if the points are confident the the area of ΔABC is equal to zero.
ar ΔABC = 0
1/2[x(-4-(-5))+(-3)(-5-2)+7(2-(-4)]=0
[x(1)+21+42]=0
(x+63)=0
x=-63
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