Three Dimensional Geometry Question 180

Question: The co-ordinates of the point where the line through $ P(3,,4,,1) $ and $ Q(5,1,6) $ crosses the xy-plane are

[MP PET 1997]

Options:

A) $ \frac{3}{5},\frac{13}{5},\frac{23}{5} $

B) $ \frac{13}{5},\frac{23}{5},\frac{3}{5} $

C) $ \frac{13}{5},\frac{23}{5},0 $

D) $ \frac{13}{5},0,,0 $

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Answer:

Correct Answer: C

Solution:

Trick: From option c, the point lies on xy-plane and divides the join of P and Q in ? 1 : 6 i.e., 1 : 6 externally.