JEE Mains · Maths · STD 12 - 11. three dimension geometry
Let \(S\) be the mirror image of the point \(Q(1,3,4)\) with respect to the plane \(2 x-y+z+3=0\) and let \(\mathrm{R}(3,5, \gamma)\) be a point of this plane. Then the square of the length of the line segment \(SR\) is ..... .
- A \(72\)
- B \(27\)
- C \(36\)
- D \(6\)
Answer & Solution
Correct Answer
(A) \(72\)
Step-by-step Solution
Detailed explanation
Since \(\mathrm{R}\,(3,5, \gamma)\) lies on the plane \(2 \mathrm{x}-\mathrm{y}+\mathrm{z}+3=0\). Therefore, \(6-5+\gamma+3=0\) \(\Rightarrow \gamma=-4\) Now, dr's of line \(QS\) are \(2,-1,1\) equation of line \(Q S\) is…
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