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AP EAMCET202315 May 2023Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If 1+ 1+a =(1+ 1-a ) and 0 < a < 1 , then 4 =

Options

  1. Aa
  2. B2 a
  3. C3 a
  4. D4 a

Correct answer

A. a

Step-by-step solution

Given (1+ 1+a )=(1+ 1-a ) aligned & (1+ 1+a ) =(1+ 1-a ) & ( - )=( 1-a - 1+a ) aligned Squaring both side we get aligned & 1- 2 =1+a ( ^2 - ^2 )- 1-a^2 2 & [(a 2 )- 2 ]^2= [- 1-a^2 2 ]^2 & a^2 ^2 2 + ^2 2 -2 a 2 2 & = (1-a^2 ) ^2 2 & a^2=a 4 & 4 =a aligned

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