NDA 2021 Mathematics question
Consider the following statements : 1. A line in space can have infinitely many direction ratios. 2. It is possible for certain line that the sum of the squares of direction cosines can be equal to sum of its direction cosines. Which of the above statements is/are correct?
Answer: (C)
Solution
Statement 1: direction ratios are any three numbers proportional to the direction cosines; if is a set of direction ratios, so is for every non-zero . So a line has infinitely many sets of direction ratios; correct.
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