TS EAMCET · Maths · Three Dimensional Geometry
If the distance between two points \(A\) and \(B\) is \(d\), and the lengths of the projections of \(A B\) on the coordinate planes are \(d_1, d_2, d_3\), then
- A \(2 d^2=d_1^2+d_2^2+d_3^2\)
- B \(d_1+d_2+d_3=0\)
- C \(d_1^{\prime 2}+d_2^{\prime 2}+d_3^{\prime 2}=d^{\prime 2}\)
- D \(d_1+d_2+d_3=d\)
Answer & Solution
Correct Answer
(A) \(2 d^2=d_1^2+d_2^2+d_3^2\)
Step-by-step Solution
Detailed explanation
Let \({AB}\) makes angles, \(\alpha, \beta\) and \(\gamma\) with \(O X, O Y\) and \(O Z\), respectively. Then, \({AB}=d\)…
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