AP EAMCET · Maths · Three Dimensional Geometry
If \(P\) divides the line segment joining the points \(A(1,2,-1)\) and \(B(-1,0,1)\) externally in the ratio \(1: 2\) and \(Q=(1,3,-1)\), then \(P Q=\)
- A \(\sqrt{10}\)
- B \(3\)
- C \(1\)
- D \(\sqrt{13}\)
Answer & Solution
Correct Answer
(B) \(3\)
Step-by-step Solution
Detailed explanation
Given, points \(A(1,2,-1)\) and \(B(-1,0,1)\) and \(P\) divides the line segment externally in the ratio \(1: 2\) For external division, coordinates are \(\left[\frac{m_1 x_2-m_2 x_1}{m_1-m_2}, \frac{m_1 y_2-m_2 y_1}{m_1-m_2}, \frac{m_1 z_2-m_2 z_1}{m_1-m_2}\right]\)…
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