AP EAMCET · Maths · Three Dimensional Geometry
If the point \((3,4,5)\) divides the line segment joining the points \((1,2,3)\) and \((4,5,6)\) in the ratio \(\lambda: 1\), then the point which divides the line segment joining the points \((3,4,5)\) and \((1,2,3)\) in the ratio \(-1: \lambda\) is
- A \((6,7,8)\)
- B \((5,6,7)\)
- C \((-4,-5,-6)\)
- D \((-5,-6,-7)\)
Answer & Solution
Correct Answer
(B) \((5,6,7)\)
Step-by-step Solution
Detailed explanation
\(\therefore \quad \frac{4 \lambda+1}{\lambda+1}=3 \Rightarrow \lambda=2\) According to question, Required point \(=\left(\frac{3 \lambda-1}{\lambda-1}, \frac{4 \lambda-2}{\lambda-1}, \frac{5 \lambda-3}{\lambda-1}\right)\)…
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