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If the point P[X1+t(X2-X1),y1+t(y2-y1] d...

If the point `P[X_1+t(X_2-X_1),y_1+t(y_2-y_1]` divides AB internally where `(X_1,Y_1)` and B B(`X_2,Y_2`) then, if `tin (0,k)` , find k

A

`t lt 0`

B

`0 lt t lt 1`

C

`t gt 1`

D

`t=1`

Text Solution

Verified by Experts

The correct Answer is:
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`.
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