If the three points (5,-3),(5,4) and (x,0) lie in one line,then what is the value ofx ??
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Hey!!
If they lie in same line then this means they are collinear
We know that ,
When points are collinear ,
Ar∆ = 0
✴ 1/2{ x1 (y2 -y3 ) + x2 (y3 -y1) +x3 (y1-y2)}= 0
1/2 {5 ( 4 - 0) + 5(0+3) + x(-3-4) = 0
1/2 { 20 + 15 - 7x } =0
1/2 { 35 -7x } = 0
35-7x =0
-7x = -35
x = 5
✌✌ Hope this helps !
If they lie in same line then this means they are collinear
We know that ,
When points are collinear ,
Ar∆ = 0
✴ 1/2{ x1 (y2 -y3 ) + x2 (y3 -y1) +x3 (y1-y2)}= 0
1/2 {5 ( 4 - 0) + 5(0+3) + x(-3-4) = 0
1/2 { 20 + 15 - 7x } =0
1/2 { 35 -7x } = 0
35-7x =0
-7x = -35
x = 5
✌✌ Hope this helps !
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