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Question

Mathematics Question on general equation of a line

If (α,β,γ)(α, β, γ) is mirror image of the point (2,3,4)(2, 3, 4) with respect to the line (x1)2=(y2)3=(z3)4\frac {(x-1)}{2}=\frac {(y-2)}{3}=\frac {(z-3)}{4}. Then 2α+3β+4γ2α + 3β + 4γ is

A

29

B

30

C

31

D

32

Answer

29

Explanation

Solution

The correct option is (A): 29