AP EAMCET · Maths · Three Dimensional Geometry
If the mid-points of the sides \(A B, B C, C A\) of a triangle are \((1,5,-1),(0,4,-2),(2,3,4)\) respectively, then the length of the median drawn from \(C\) to \(A B\) is
- A \(\sqrt{29}\)
- B \(\sqrt{27}\)
- C \(\sqrt{5}\)
- D 5
Answer & Solution
Correct Answer
(D) 5
Step-by-step Solution
Detailed explanation
\(D(1,5,-1), E(0,4,-2), F(2,3,4)\) are mid-points Then, \[ \begin{aligned} & \frac{x_1+x_2}{2}=1 \frac{y_1+y_2}{2}=5 \frac{z_1+z_2}{2}=-1 \\ & x_1+x_2=2, \quad y_1+y_2=10, \quad z_1+z_2=-2 \end{aligned} \] Similarly,…
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