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Q.

If the mirror image of the point (1,3,5) with respect to the plane 4x-5y+2z=8 is (α,β,γ) then 5(α+β+γ) equals:

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a

39

b

41

c

43

d

47

answer is D.

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Detailed Solution

α-14=β-3-5=γ-52=-2[4-15+10-8]16+25+4=25∴α=135,β=1,γ=2955(α+β+γ)=47

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