TS EAMCET · Maths · Three Dimensional Geometry
If the image of the point \((1,-2,1)\) with respect to the line passing through the points \(\mathrm{B}(1,1,2)\) and \(\mathrm{C}(2,2,1)\) is \((1, m, n)\), then \(1^2+m^2+n^2=\) (a) 1 (b) 9 (c) 22 (d) 26
- A 1
- B 9
- C 22
- D 26
Answer & Solution
Correct Answer
(D) 26
Step-by-step Solution
Detailed explanation
Equation of line passing through \(B(1,1,2)\) and \(C(2,2,1)\). \(L: \frac{x-1}{1}=\frac{y-1}{1}=\frac{z-2}{1} \leqslant k\) \(\therefore \quad\) D.R. of parallel line to given line is \((1,1,-1)\) \[ x=k+1, y=k+1, z=-k+2 \] D.R. of \(P Q:(k, k+3,1-k)\)…
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