MHT CET · Maths · Three Dimensional Geometry
\(A\) line \(L\) is passing through points \(A(1,3,2)\) and \(B(2,2,1)\). If mirror image of point \(\mathrm{P}(1,1,-1)\) in the line L is \((\mathrm{x}, \mathrm{y}, \mathrm{z})\) then \(x+\mathrm{y}+\mathrm{z}=\)
- A \(\frac{10}{3}\)
- B \(\frac{13}{3}\)
- C \(\frac{14}{3}\)
- D \(\frac{23}{3}\)
Answer & Solution
Correct Answer
(D) \(\frac{23}{3}\)
Step-by-step Solution
Detailed explanation
\(\vec{d} = \vec{AB} = (2-1, 2-3, 1-2) = (1,-1,-1)\) L: \((1+\lambda, 3-\lambda, 2-\lambda)\)
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