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InterviewSolution
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If a, b, c are the direction ratios of the line and l, m, n are the direction cosines of the line, then which of the following is true?(a) \(\frac{l}{a}=\frac{m}{b}=\frac{n}{c}=μ\)(b) \(\frac{l}{a}=\frac{m}{b}=\frac{n}{c}=μ-1\)(c) \(\frac{l}{a}=\frac{m}{c}=\frac{n}{b}=μ\)(d) \(\frac{l}{a}=\frac{n+1}{b}=\frac{n}{c}=μ\)The question was posed to me in an online quiz.I want to ask this question from Direction Cosines and Direction Ratios of a Line topic in division Three Dimensional Geometry of Mathematics – Class 12 |
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Answer» RIGHT choice is (a) \(\frac{l}{a}=\frac{m}{b}=\frac{n}{c}=μ\) To explain: For a GIVEN LINE, if a, b, c are the direction RATIOS and l, m, n are the direction cosines of the line then a=μl, b=μm, c=μn Or we can SAY that, \(\frac{l}{a}=\frac{m}{b}=\frac{n}{c}=μ\), where μ is a constant. |
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