CUET · MATHS · PYQ PAPER 2025
The angle at which the line \(\frac{x-1}{0}=\frac{2-y}{-1}=\frac{2 z-3}{-2}\) is inclined with the positive direction of \(z\)-axis is
- A \(\frac{\pi}{4}\)
- B \(\frac{\pi}{2}\)
- C \(\frac{2 \pi}{3}\)
- D \(\frac{3 \pi}{4}\)
Answer & Solution
Correct Answer
(D) \(\frac{3 \pi}{4}\)
Step-by-step Solution
Detailed explanation
Direction vector of the line: \(\vec{d} = (0, 1, -1)\) Direction vector of positive \(z\)-axis: \(\vec{k} = (0, 0, 1)\) \(\cos \theta = \frac{\vec{d} \cdot \vec{k}}{|\vec{d}| |\vec{k}|}\)…
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