AP EAMCET · Maths · Three Dimensional Geometry
If \(\mathrm{a}, \mathrm{b}, \mathrm{c}\) are the direction ratios of a line \(\mathrm{L}\) and \(\ell, m, n\) are its direction cosines, then \(\frac{a^2}{b^2+c^2}=\)
- A \(\frac{1-\ell^2}{\ell^2}\)
- B \(\frac{\ell^2}{1+\ell^2}\)
- C \(\frac{\ell^2}{\ell^2+m^2}\)
- D \(\frac{\ell^2}{1-\ell^2}\)
Answer & Solution
Correct Answer
(C) \(\frac{\ell^2}{\ell^2+m^2}\)
Step-by-step Solution
Detailed explanation
Let \(\mathrm{a}=\frac{1}{\mathrm{k}}, \mathrm{b}=\frac{\mathrm{m}}{\mathrm{k}}\) and \(\mathrm{c}=\frac{\mathrm{n}}{\mathrm{k}}\)…
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