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Prove that if P(x,y) be any point on t...

Prove that if `P(x,y)` be any point on the line segment joining `P_(1)(x_(1),y_(1)) and P_(2) (x_(2),y_(2))` then `x=x_(1)+k(x_(2)-x_(1)) and y=y_(1)+k(y_(2)-y_(1))`, where `bar (P_(1)P), bar (P_(1)P_(2))=k`
What conclusion can you draw about the position of P if
` 0 lt k lt 1`

Text Solution

Verified by Experts

The correct Answer is:
(i) P lies between `P_(1) and P_(2)`
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