WBJEE · Maths · Three Dimensional Geometry
The equation of the plane through (1,2,-3) and (2,-2,1) and parallel to \(X\) -axis is
- A \(y-z+1=0\)
- B \(y-z-1=0\)
- C \(y+z-1=0\)
- D \(y+z+1=0\)
Answer & Solution
Correct Answer
(D) \(y+z+1=0\)
Step-by-step Solution
Detailed explanation
Equation of the plane will be \(\left|\begin{array}{ccc}x-1 & y-2 & z+3 \\ 2-1 & -2-2 & 1-(-3) \\ 1 & 0 & 0\end{array}\right|=0\) \(\Rightarrow\left|\begin{array}{ccc}x-1 & y-2 & z+3 \\ 1 & -4 & 4 \\ 1 & 0 & 0\end{array}\right|=0\) \(\Rightarrow \quad 1[4(y-2)+4(z+3)]=0\)…
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