CUET · MATHS · PYQ PAPER 2023
The lines \(\frac{x}{1}=\frac{y}{2}=\frac{z}{3}\) and \(\frac{x-3}{-3}=\frac{y-4}{-6}=\frac{z-5}{-9}\) are :
- A coincident
- B skew
- C intersecting
- D parallel
Answer & Solution
Correct Answer
(D) parallel
Step-by-step Solution
Detailed explanation
Direction vectors: \( \vec{d_1} = \langle 1, 2, 3 \rangle \), \( \vec{d_2} = \langle -3, -6, -9 \rangle \). \( \vec{d_2} = -3 \vec{d_1} \implies \langle -3, -6, -9 \rangle = -3 \langle 1, 2, 3 \rangle \). Lines are parallel. Point on \( L_1 \): \( P_1 = (0, 0, 0) \). Substitute…
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