Question:medium
If \(\left(2\alpha+1,\;\alpha^2-3\alpha,\;\frac{\alpha-1}{2}\right)\) is the image of \((\alpha,2\alpha,1)\) in the line
\[
\frac{x-2}{3}=\frac{y-1}{2}=\frac{z}{1},
\]
then the value of \(\alpha\) is:
If \(\left(2\alpha+1,\;\alpha^2-3\alpha,\;\frac{\alpha-1}{2}\right)\) is the image of \((\alpha,2\alpha,1)\) in the line
\[
\frac{x-2}{3}=\frac{y-1}{2}=\frac{z}{1},
\]
then the value of \(\alpha\) is:
Updated On: Apr 6, 2026
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Correct Answer: 3
Solution and Explanation
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