AP EAMCET · Maths · Three Dimensional Geometry
\(\mathrm{A}(2,3,5), \mathrm{B}(\alpha, 3,3)\) and \(\mathrm{C}(7,5, \beta)\) are the vertices of a triangle. If the median through \(\mathrm{A}\) is equally inclined with the coordinate axes, then \(\frac{\beta}{\alpha}=\)
- A -9
- B \(\frac{-1}{9}\)
- C \(\frac{-2}{9}\)
- D \(\frac{9}{2}\)
Answer & Solution
Correct Answer
(A) -9
Step-by-step Solution
Detailed explanation
Given, points \(\mathrm{A}(2,3,5), \mathrm{B}(\alpha, 3,3)\) and \(\mathrm{C}(7,5, \beta)\) \(\therefore\) Mid-point of \(\mathrm{BC}\) is \(\mathrm{D}\left(\frac{\alpha+7}{2}, 4, \frac{3+\beta}{2}\right)\) \(\because\) Direction ratio of line joining points…
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