AP EAMCET · Maths · Three Dimensional Geometry
Let the plane \(\pi\) pass through the point \((1,0,1)\) and perpendicular to the planes \(2 x+3 y-z=2\) and \(x-y+2 z=1\). Let the equation of the plane passing through the point \((11,7,5)\) and parallel to the plane \(\pi\) be \(a x+b y-z-d=0\). Then, \(\frac{a}{b}+\frac{b}{d}=\)
- A \(3\)
- B \(0\)
- C \(2\)
- D \(-2\)
Answer & Solution
Correct Answer
(D) \(-2\)
Step-by-step Solution
Detailed explanation
The equation of plane passes through the point \((1,0,1)\) is \(a(x-1)+b(y-0)+c(z-1)=0\) ...(i) If this plane is perpendicular to the planes \(2 x+3 y-z=2\) and \(x-y+2 z=1\) Then, \(2 a+3 b-c=2\) and \(a-b+2 c=1\)…
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