CUET · MATHS · PYQ PAPER 2023
The direction ratios of the line perpendicular to the lines \(\frac{x-7}{-6}=\frac{y+17}{4}=\frac{z-6}{2}\) and \(\frac{x+5}{6}=\frac{y+3}{3}=\frac{z-4}{-6}\) are proportional to:
- A 7,4,5
- B 7,5,4
- C 5,7,4
- D 5,4,7
Answer & Solution
Correct Answer
(D) 5,4,7
Step-by-step Solution
Detailed explanation
\(\vec{d_1} = \langle -6, 4, 2 \rangle\) \(\vec{d_2} = \langle 6, 3, -6 \rangle\) \(\vec{d} = \vec{d_1} \times \vec{d_2} = \langle (4)(-6)-(2)(3), -((-6)(-6)-(2)(6)), (-6)(3)-(4)(6) \rangle\) \(\vec{d} = \langle -24-6, -(36-12), -18-24 \rangle\)…
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