CUET · MATHS · PYQ PAPER 2025
The direction ratios of the line perpendicular to the lines \(\frac{x-5}{2}=\frac{y+11}{-3}=\frac{z+3}{1}\) and \(\frac{x-7}{1}=\frac{y+2}{2}=\frac{z-4}{-2}\) are proportional to :
- A \((4,5,-7)\)
- B \((-4,5,7)\)
- C \((4,-5,7)\)
- D \((4,5,7)\)
Answer & Solution
Correct Answer
(D) \((4,5,7)\)
Step-by-step Solution
Detailed explanation
\(\vec{d_1} = (2, -3, 1)\) \(\vec{d_2} = (1, 2, -2)\) \(\vec{d} = \vec{d_1} \times \vec{d_2}\) \(\vec{d} = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ 2 & -3 & 1 \\ 1 & 2 & -2 \end{vmatrix} = \mathbf{i}(6-2) - \mathbf{j}(-4-1) + \mathbf{k}(4-(-3))\)…
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