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KCET2012MathematicsTrigonometric Equations

If +2 +3 =0 , +2 +3 =0 and + + = , then 3 +8 3 +27 3 is equal to

Options

  1. A-18
  2. B0
  3. C3
  4. D9

Correct answer

B. 0

Step-by-step solution

Let a= +i b= +i and c = +i Then, a+2 b+3 c=( +2 +3 ) +i( +2 +3 )=0 a³+8 b³+27 c³=18 a b c ( . if .x+y+z=0 x³+y³+z³=3 x y z ) 3 +8 3 +27 3 and 3 +8 3 +27 3 =18 ( + + )=18 =0

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