TS EAMCET · Maths · Straight Lines
Let \(A B C D\) be a tetrahedron in which the coordinates of each of its vertices are in arithmetic progression. If the centroid \(G\) of the tetrahedron is \((2,3, k)\) then the distance of \(G\) from the origin is
- A \(\sqrt{38}\)
- B \(7\)
- C \(\sqrt{22}\)
- D \(\sqrt{29}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{29}\)
Step-by-step Solution
Detailed explanation
Coordinates of verticies of tetrahedron are in AP. Let \(A\left(x_1, y_1, z_1\right), B\left(x_2, y_2, z_2\right), C\left(x_3, y_3, z_3\right)\) and \(D\left(x_4, y_4, z_4\right)\) Now, each coordinates are in AP…
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