MHT CET · Maths · Three Dimensional Geometry
The equation of plane passing through \((1,0,0)\) and \((0,1,0)\) and making an angle \(45^{\circ}\) with the plane \(x+y-3=0\) is
- A \(x+y \pm \sqrt{2} z-1=0\)
- B \(3 x+y \pm \sqrt{3} z-3=0\)
- C \(x+y \pm \sqrt{3} z-1=0\)
- D \(2 x+2 y \pm \sqrt{3} z-2=0\)
Answer & Solution
Correct Answer
(A) \(x+y \pm \sqrt{2} z-1=0\)
Step-by-step Solution
Detailed explanation
Let the equation of the plane be \(x+y+kz-1=0\). Normal vector to this plane \(\vec{n_1} = (1,1,k)\).
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