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

Question

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

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
A. `t lt 0`
B. `0 lt t lt 1`
C. `t gt 1`
D. `t=1`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
`(x_1+t(x_2-x_1),y_1+t(y_2-y_1)-=(x_1(1-t)+tx_2,y_1(1-t)+(ty_2)` is the point whihc divides the join of `(x_1,y_1)` and `(x_2,y_2)` in the ratio `t:(1-t)`, whihch is positive oif `0lttlt1`.

5 views Answered 2023-02-05 15:29