TS EAMCET · Maths · Three Dimensional Geometry
The image of the point \((3,2,1)\) in the plane \(2 x-y+3 z=7\) is
- A \((1,2,3)\)
- B \((2,3,1)\)
- C \((3,2,1)\)
- D \((2,1,3)\)
Answer & Solution
Correct Answer
(C) \((3,2,1)\)
Step-by-step Solution
Detailed explanation
We know that image \((x, y, z)\) of a point \(\left(x_1, y_1, z_1\right)\) in a plane \(a x+b y+c z+d=0\) is \(\begin{aligned} \frac{x-x_1}{a} & =\frac{y-y_1}{b}=\frac{z-z_1}{c} \\ & =\frac{-2\left(a x_1+b y_1+c z_1+d\right)}{a^2+b^2+c^2} \end{aligned}\) Here, point is…
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