Question

If the three points (5,-3),(5,4) and (x,0) lie in one line,then what is the value ofx ??

Answer 1

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 !

Answer 2

hello.....



here is your answer hope this will help U....