Question:
An equation of a plane parallel to \(x-8y-9z=12\) is
An equation of a plane parallel to \(x-8y-9z=12\) is
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To be parallel: keep the \(x,y,z\) coefficients the same; change only the constant term.
Updated On: Oct 15, 2025
- \(x+8y+9z=12\)
- \(x-8y-9z=2023\)
- \(8x-y-9z=12\)
- \(x-9y-8z=12\)
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The Correct Option is B
Solution and Explanation
Parallel planes have the same normal vector, so the coefficients of \(x,y,z\) must be proportional (here exactly the same). Only the constant may differ.
Thus the family: \(x-8y-9z=d\) with any \(d\neq12\). Option (B) fits.
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