JEE Mains · Maths · STD 12 - 11. three dimension geometry
If a point \(R (4, y, z)\) lies on the line segment joining the points \(P (2, -3, 4)\) and \(Q (8, 0, 10)\), then the distance of \(R\) from the origin is
- A \(\sqrt {53}\)
- B \(6\)
- C \(2\sqrt {14}\)
- D \(2\sqrt {21}\)
Answer & Solution
Correct Answer
(C) \(2\sqrt {14}\)
Step-by-step Solution
Detailed explanation
\(\text { Equation of } \mathrm{PQ} \text { is } \frac{x-2}{6}=\frac{y+3}{3}=\frac{z-4}{6}\) \(\mathrm{R}(4, \mathrm{y}, \mathrm{z}) \text { lies on this }\) \(\Rightarrow \frac{1}{3}=\frac{y+3}{3}=\frac{z-4}{6}\) \(\Rightarrow \mathrm{R}(4,-2,6)\)…
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