TS EAMCET · Maths · Three Dimensional Geometry
The direction ratios of normal to the plane passing through \((0,0,1),(0,1,2)\) and \((1,0,3)\), are
- A \((2,1,-1)\)
- B \((1,0,1)\)
- C \((0,0,-1)\)
- D \((1,0,0)\)
Answer & Solution
Correct Answer
(A) \((2,1,-1)\)
Step-by-step Solution
Detailed explanation
Equation of the plane passing through \((0,0,1),(0\), \(1,2)\) and \((1,0,3)\) is \[ \left|\begin{array}{llll} x & y & z & 1 \\ 0 & 0 & 1 & 1 \\ 0 & 1 & 2 & 1 \\ 1 & 0 & 3 & 1 \end{array}\right|=0 \] Applying \(C_3 \rightarrow C_3-C_4\)…
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