Question

The equation of a line passing through origin with direction angles \( \frac{2\pi}{3}, \frac{\pi}{4}, \frac{\pi}{3} \) is

• A. \( x = \frac{y}{\sqrt{2}} = z \)
• B. \( \frac{x}{-1} = \frac{y}{-\sqrt{2}} = z \)
• C. \( x = \frac{y}{-\sqrt{2}} = z \)
• D. \( x = \frac{y}{-\sqrt{2}} = -z \)

Hint:

Direction cosines are \( (\cos\alpha,\cos\beta,\cos\gamma) \)Use them directly to form direction ratios and then write symmetric equation.

Answer 1

The Correct Option is D