TS EAMCET · Maths · Three Dimensional Geometry
If the circumcenter of the triangle formed by the points \((1,2,3),(3,-1,5)\) and \((4,0,-3)\) is \((\alpha, \beta, \gamma)\), then \(|\alpha|+|\beta|=\)
- A \(|\gamma|\)
- B \(3|\gamma|\)
- C \(4|\gamma|\)
- D \(2|\gamma|\)
Answer & Solution
Correct Answer
(C) \(4|\gamma|\)
Step-by-step Solution
Detailed explanation
\(A(1,2,3) ; B(3,-1,5) ; C(4,0,-3)\) D.R. of \(\overrightarrow{A B}=(3-1,-1-2,5-3) \equiv(2,-3,2)\) D.R. of \(\overrightarrow{B C}=(4-3,0+1,-3-5) \equiv(1,1,-8)\) D.R. of \(\overrightarrow{C A}=(1-4,2-0,3+3) \equiv(-3,2,6)\)…
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