COMEDK · Maths · 34. Three Dimensional Geometry
If the lines \(\frac{x+4}{3}=\frac{y-2}{a}=\frac{z}{2}\) and \(\frac{x}{2}=\frac{y-3}{4}=\frac{z-1}{1}\) are perpendicular, then the value of \(a\) is
- A 2
- B -2
- C 3
- D -3
Answer & Solution
Correct Answer
(B) -2
Step-by-step Solution
Detailed explanation
Let \(L_1 \equiv \frac{x+4}{3}=\frac{y-2}{a}=\frac{z}{2}\) \(\therefore\) Direction ratio of \(L_1\left(l_1, m_1, n_1\right)=(3, a, 2)\) \(L_2 \equiv \frac{x}{2}=\frac{y-3}{4}=\frac{z-1}{1}\) \(\therefore\) Direction ratio of \(L_2\left(l_2, m_2, n_2\right)=(2,4,1)\) If given…
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