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AP EAMCET202123 Aug 2021Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If x =y ( + 2 3 )=z ( + 4 3 ) , then 1 x + 1 y + 1 z =

Options

  1. A1
  2. B2
  3. C0
  4. D3

Correct answer

C. 0

Step-by-step solution

aligned & Given, x =y ( + 2 3 ) & z ( + 4 3 )= (say) & = x , ( + 2 3 )= y , ( + 4 3 )= z & + ( + 2 3 )+ ( + 4 3 ) & = ( 1 x + 1 y + 1 z ) & ( 1 x + 1 y + 1 z )=2 ( + +4 / 3 2 ) & ( +4 / 3- 2 )+ ( + 2 3 ) & [ A+ B=2 ( A+B 2 ) ( A-B 2 ) ] & ( 1 x + 1 y + 1 z )=2 ( + 2 3 ) & ( 2 3 )+ ( + 2 3 ) aligned aligned & ( 2 3 )= ( - 3 )=- 3 =- 1 2 & ( 1 x + 1 y + +1 z )=- ( + 2 3 )+ ( + 2 3 ) & =0 & 1 x + 1 y + 1 z =0 [ 0] aligned

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