Question

13. If the point (x, + 1(x, - x,), (9, + 1692-y,) divides the join of (x, y,) and (x, y,) internally, then
1 ) t<0
2) 0<t< 1
3) t > 1
4) t = 1
​

Answer 1

Step-by-step explanation:

(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 which divides (x

1

,y

1

) and (x

2

,y

2

) in the ratio t:1−t

Since, the point divides internally

∴ Ratio must be positive.

∴

1−t

t

>0 and t(1−t)>0

Thus, 0<t<1.