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Question: If the point P(x<sub>1</sub> + t(x<sub>2</sub> – x<sub>1</sub>), y<sub>1</sub> + t (y<sub>2</sub> – ...

If the point P(x1 + t(x2 – x1), y1 + t (y2 – y1)) divides the join of A(x1, y1) and B(x2, y2) internally then

A

t< 0

B

0 < t < 1

C

t > 1

D

t = 1

Answer

0 < t < 1

Explanation

Solution

x1 + t(x2 – x1), y1 + t(y2 – y1)

for interval division

0 < t < 1 t1−t\frac { \mathrm { t } } { 1 - \mathrm { t } } > 0 < 0