JEE Mains · Maths · STD 12 - 11. three dimension geometry
If the image of the point \((4,4,3)\) in the line \(\frac{x-1}{2}=\frac{y-2}{1}=\frac{z-1}{3}\) is \((\alpha, \beta, \gamma)\), then \(\alpha+\beta+\gamma\) is equal to
- A 9
- B 12
- C 7
- D 8
Answer & Solution
Correct Answer
(A) 9
Step-by-step Solution
Detailed explanation
Let coordinate of \(R=(2 r+1, r+2,3 r+1)\) \(\because \quad P R\) is perpendicular to given line. \(\therefore(2 r-3) \cdot 2+(r-2) \cdot 1+(3 r-2) \cdot 3=0\) \(\therefore r=1\) \(\therefore\) Coordinate of \(R=(3,3,4)\) \(\therefore \quad(\alpha, \beta, \gamma)=(2,2,5)\)…
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