AP EAMCET · Maths · Three Dimensional Geometry
Equation of the plane passing through the origin and perpendicular to the planes \(x+2 y-z=1\) and \(3 x-4 y+z=5\) is
- A \(x+2 y-5 z=0\)
- B \(x-2 y+5 z=0\)
- C \(x+2 y+5 z=0\)
- D \(3 x+y-5 z=0\)
Answer & Solution
Correct Answer
(C) \(x+2 y+5 z=0\)
Step-by-step Solution
Detailed explanation
Normal vectors of given planes: \(\vec{n_1} = \langle 1, 2, -1 \rangle\), \(\vec{n_2} = \langle 3, -4, 1 \rangle\). Normal vector of the required plane…
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