JEE Mains · Maths · STD 12 - 11. three dimension geometry
The plane, passing through the points \((0,-1,2)\) and \((-1,2,1)\) and parallel to the line passing through \((5\), \(1,-7)\) and \((1,-1,-1)\), also passes through the point.
- A \((1,-2,1)\)
- B \((0,5,-2)\)
- C \((-2,5,0)\)
- D \((2,0,1)\)
Answer & Solution
Correct Answer
(C) \((-2,5,0)\)
Step-by-step Solution
Detailed explanation
Points \((0,-1,2)\) and \((-1,2,1)\) parallel to the line of \((5,1,-7)\) and \((1,-1,-1)\) \(\begin{array}{ccc}\text { Normal } \\ \text { Vector }\end{array}=\left|\begin{array}{ccc}i & j & k \\ 4 & 2 & -6 \\ -1 & 3 & -1\end{array}\right|\)…
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