AP EAMCET · Maths · Three Dimensional Geometry
If \(\mathrm{A}=(1,2,3), \mathrm{B}=(3,4,7)\) and \(\mathrm{C}=(-3,-2,-5)\) are three points then the ratio in which the point C divides AB externally is
- A \(2: 3\)
- B \(3: 2\)
- C \(4: 3\)
- D \(3: 4\)
Answer & Solution
Correct Answer
(A) \(2: 3\)
Step-by-step Solution
Detailed explanation
\(\mathrm{A}=(1,2,3), \mathrm{B}=(3,4,7) \text { and } \mathrm{C}=(-3,-2,-5)\) Let ratio be \(\mathrm{k}: 1\) \(\mathrm{C}(-3,-2,-5)=\left(\frac{3 k-1}{k-1}, \frac{4 k-2}{k-1}, \frac{7 k-3}{k-1}\right)\) On comparing, \(\frac{3 k-1}{k-1}=-3 \Rightarrow k=\frac{2}{3}\)…
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