TS EAMCET · Maths · Three Dimensional Geometry
The image of the point \((5,2,6)\) with respect to the plane \(x+y+z=9\) is
- A \((3,-5,2)\)
- B \(\left(\frac{7}{2},-1,5\right)\)
- C \(\left(\frac{7}{3},-\frac{2}{3}, \frac{10}{3}\right)\)
- D \(\left(\frac{7}{3}, \frac{2}{3},-\frac{5}{3}\right)\)
Answer & Solution
Correct Answer
(C) \(\left(\frac{7}{3},-\frac{2}{3}, \frac{10}{3}\right)\)
Step-by-step Solution
Detailed explanation
\[ \begin{aligned} & \text { Let, }\left(x_1, y_1, z_1\right)=(5,2,6) \\ & \text { and } a=1, b=1, c=1 \text { and } d=-9 \\ & \therefore \quad \frac{x-5}{1}=\frac{y-2}{1}=\frac{z-6}{1}=\frac{-2(5+2+6-9)}{1+1+1} \end{aligned} \] Now,…
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