TS EAMCET · Maths · Three Dimensional Geometry
If \((2,-1,3)\) is the foot of the perpendicular drawn from the origin to the plane, then the equation of the plane is
- A \(2 x+y-3 z+6=0\)
- B \(2 x-y+3 z-14=0\)
- C \(2 x-y+3 z-13=0\)
- D \(2 x+y+3 z-10=0\)
Answer & Solution
Correct Answer
(B) \(2 x-y+3 z-14=0\)
Step-by-step Solution
Detailed explanation
Let the equation of any plane passing through \(P(2,-1,3)\) is \(a(x-2)+b(y+1)+c(z-3)=0\) ...(i) Where \(a, b, c\) are the direction ratios. Since, point \(O(0,0,0\),\() is perpendicular to the foot of\) the plane at a point \(P(2,-1,3)\). \(\therefore \quad\) Direction's of…
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