JEE Mains · Maths · STD 12 - 11. three dimension geometry
If for some \(\alpha \in R ,\) the lines \(L _{1}: \frac{ x +1}{2}=\frac{ y -2}{-1}=\frac{ z -1}{1}\) and \(L _{2}: \frac{ x +2}{\alpha}=\frac{ y +1}{5-\alpha}=\frac{ z +1}{1}\) are coplanar, then the line \(L _{2}\) passes through the point
- A \((-2,10,2)\)
- B \((10,2,2)\)
- C \((10,-2,-2)\)
- D \((2,-10,-2)\)
Answer & Solution
Correct Answer
(D) \((2,-10,-2)\)
Step-by-step Solution
Detailed explanation
\(L_{1} \equiv \frac{x+1}{2}=\frac{y-2}{-1}=\frac{z-1}{1}\) \(L_{2} \equiv \frac{x+2}{\alpha}=\frac{y+1}{5-\alpha}=\frac{z+1}{1}\) Point \(A (-1,2,1) B (-2,-1,-1)\) \(\because L _{1}\) and \(L _{2}\) are coplanar…
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