Prove that originO divides the line joining the point A(1,-3)andB(-3,9) in the ratio 1:3 internally find the coordinates of the point which externally divides the line
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Answer:
Let the point be P(x,y)
x=(m2x1+m1x2)÷(m1+m2).
=>(3×1+1×-3)÷(1+3)
=>(3-3)÷4
=>0/4
=>0
y=(y2m1+y1m2)÷(m1+m2)
=>(9×1+3×-3)÷(1+3)
=>(9-9)÷4
=>0\4
=>0
so, P(0,0)
It's origin.
I hope this answer helps you.
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