TS EAMCET · Maths · Three Dimensional Geometry
\(\mathrm{A}(27,-243,81)\) is a point in space. \(\mathrm{B}, \mathrm{C}, \mathrm{D}\) are images of A with respect to \(\mathrm{XY}, \mathrm{YZ}\) and \(\mathrm{ZX}\) planes respectively. If the centroid of the triangle \(\mathrm{BCD}\) is \((\alpha, \beta, \gamma)\), then \(\alpha+\beta+\gamma=\)
- A -25
- B 45
- C 25
- D -45
Answer & Solution
Correct Answer
(D) -45
Step-by-step Solution
Detailed explanation
Given point \(\mathrm{A}(27,-243,81)\) in space, now images of point \(A\) in xyh plane, yzh plane and zx-planes are B \((27,-243,-81), C(-27,-243,81)\) and \(D(27,243,81)\) respectively. Hence centroid of the triangle \(\mathrm{BCD}\) is…
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