AP EAMCET · Maths · Three Dimensional Geometry
If the foot of the perpendicular drawn from \((0,0,0)\) to a plane is \((1,2,3)\), then equation of the plane is
- A \(2 x+y+3 z=14\)
- B \(x+2 y+3 z=14\)
- C \(x+2 y+3 z+14=0\)
- D \(x+2 y-3 z=14\)
Answer & Solution
Correct Answer
(B) \(x+2 y+3 z=14\)
Step-by-step Solution
Detailed explanation
\(\because\) Foot of perpendicular lies on the plane. So, the equation of plane is \(a(x-1)+b(y-2)+c(z-3)=0\) ...(i) \(\because \quad\) Line joining \((0,0,0)\) and \((1,2,3)\) is perpendicular to the plane (i). \(\therefore \quad a=1-0=1, b=2-0=2, c=3-0=3\) So, equation (i)…
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