TS EAMCET · Maths · Three Dimensional Geometry
The ratio in which \(B\left(\frac{33}{5}, \frac{28}{5}, \frac{38}{5}\right)\) divides the line segment joining \(A(3,2,4)\) and \(C(9,8,10)\) is
- A \(2: 1\)
- B \(1: 3\)
- C \(3: 2\)
- D \(5: 3\)
Answer & Solution
Correct Answer
(C) \(3: 2\)
Step-by-step Solution
Detailed explanation
\(\frac{9 k+3}{k+1}=\frac{33}{5}\) \( \begin{array}{lrl} \Rightarrow & 45 k+15=33 k+33 \\ \Rightarrow & 12 k=18 \\ \Rightarrow & k=\frac{18}{12} \Rightarrow k=\frac{3}{2} \end{array} \)…
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