Question:medium
Let the image of the point \(P(0,-5,0)\) in the line
\[
\frac{x-1}{2}=\frac{y}{1}=\frac{z+1}{-2}
\]
be the point \(R\) and the image of the point \(Q(0,-\frac12,0)\) in the line
\[
\frac{x-1}{-1}=\frac{y+9}{4}=\frac{z+1}{1}
\]
be the point \(S\). Then the square of the area of the parallelogram \(PQRS\) is ______.
Let the image of the point \(P(0,-5,0)\) in the line
\[
\frac{x-1}{2}=\frac{y}{1}=\frac{z+1}{-2}
\]
be the point \(R\) and the image of the point \(Q(0,-\frac12,0)\) in the line
\[
\frac{x-1}{-1}=\frac{y+9}{4}=\frac{z+1}{1}
\]
be the point \(S\). Then the square of the area of the parallelogram \(PQRS\) is ______.
Updated On: Apr 12, 2026
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Correct Answer: 100
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