AP EAMCET · Maths · Three Dimensional Geometry
If a line makes angles \(90^{\circ}, 135^{\circ}\) and \(45^{\circ}\) with the positive directions of \(X, Y, Z\)-axes respectively. Then, its direction cosines are
- A \(\left(0, \frac{-1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)\)
- B \(\left(0, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)\)
- C \(\left(0, \frac{-1}{\sqrt{2}}, \frac{-1}{\sqrt{2}}\right)\)
- D \(\left(0, \frac{1}{\sqrt{2}}, \frac{-1}{\sqrt{2}}\right)\)
Answer & Solution
Correct Answer
(A) \(\left(0, \frac{-1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)\)
Step-by-step Solution
Detailed explanation
Given angles made by line with axes are \(\alpha=90^{\circ}, \quad \beta=135^{\circ}, \quad \gamma=45^{\circ}\) So, direction cosines are,…
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