If the point x1+t(x2-x1), y1+t(y2-y1) di...

If the point `x_1+t(x_2-x_1), y_1+t(y_2-y_1)` divides the join of `(x_1,y_1)` and `(x_2,y_2)` internally then locus of `t` is

tlt0

0lttlt1

tgt1

t=1

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The correct Answer is:

`(x_(1)+t(x_(2)-x_(1)),y_(1)+t(y_(2)-y_(1)))`
`=(x_(1)(l-t)+tx_(2),y_(1)(l-t)+ty_(2))` is the point which divides the join of `(x_(1) ,y_(1))` and `(x_(2), y_(2))` in the ratio t : (l-t) which is positive if `0lt tlt 1`

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