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Question: Answered & Verified by Expert
Let S be the mirror image of the point Q(1,3,4) with respect to the plane 2x-y+z+3=0 and let R(3,5,γ) be a point of this plane. Then the square of the length of the line segment SR is
MathematicsThree Dimensional GeometryJEE MainJEE Main 2021 (27 Aug Shift 2)
Solution:
1014 Upvotes Verified Answer
The correct answer is: 72

Let point S(α,β,γ) be an image of Q(1,3,4)thenα-12=β-3-1=γ-41=-2(2-3+4+3)4+1+1=-2 S(α,β,γ)=(-3,5,2) and

point R(3,5,γ) lies on the plane 2x-y+z+3=0

put the points of R in equation of plane anf find the value
65+γ+3=0γ=4

R(3,5,4)&S(3,5,2)

using distance formula find

distance of SR=36+0+36(SR)2=72

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