MHT CET · Maths · Three Dimensional Geometry
The equation of the plane passing through the point \((1,2,1)\) and perpendicular to the planes \(x+2 \mathrm{y}+2 \mathrm{z}-7=0\) and \(3 x+3 \mathrm{y}+2 \mathrm{z}-5=0\) is
- A \(\frac{1}{3}\)
- B 3
- C \(\frac{1}{2}\)
- D \(-\frac{1}{2}\)
Answer & Solution
Correct Answer
(B) 3
Step-by-step Solution
Detailed explanation
Let \(\vec{n_1} = \langle 1, 2, 2 \rangle\) and \(\vec{n_2} = \langle 3, 3, 2 \rangle\). The normal vector \(\vec{n}\) of the required plane is perpendicular to \(\vec{n_1}\) and \(\vec{n_2}\).
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