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If the point  x1+tx2x1,y1+ty2y1)divides the join of x1,y1 and x2,y2 internally, then

a
t<0
b
0
c
t>1
d
t=1

detailed solution

Correct option is B

The co-ordinates of the point of division arex1+tx2−x1,y1+ty2−y1=(1−t)x1+tx2(1−t)+t,(1−t)y1+ty2(1−t)+tClearly, these are the coordinates of the point dividing the jo of x1,y1 and x2,y2 in the ratio t:(1−t). For the internal division, we must havet>0  and  1−t>0⇒0

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