Question
Given that P(3,2,-4), Q(5,4,-6) and R(9,8,-10) are collinear, find the ratio in which Q divides PR.
Answer: Option A
:
A
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A
Let Q divide PR in the ratio k:1. Equate the x-coordinate of the point of division to 5.
∴3+9kk+1=53+9k=5k+54k=2k=12
Since it is given that P, Q and R are collinear, we need to calculate k only for any one of the coordinates.
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