AP EAMCET · Maths · Three Dimensional Geometry
Two lines whose direction cosines are given by \(a l+b m+c n=0\) and \(f m n+g n l+h l m=0\) are perpendicular to each other if .........
- A \(\frac{f}{a}+\frac{g}{b}+\frac{h}{c}=0\)
- B \(\frac{f}{a}-\frac{g}{b}-\frac{h}{c}=0\)
- C \(\frac{f}{a}+\frac{g}{b}-\frac{h}{c}=0\)
- D \(\frac{f}{a}-\frac{g}{b}+\frac{h}{c}=0\)
Answer & Solution
Correct Answer
(A) \(\frac{f}{a}+\frac{g}{b}+\frac{h}{c}=0\)
Step-by-step Solution
Detailed explanation
Let the direction cosines of lines are \(l_1, m_1, n_1\) and \(l_2, m_2, n_2\) Since, \(a l+b m+c n=0\) and, \(f m n+g n l+h m=0\) So, on eliminating ' \(l\) ', we get…
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