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MHT CET202313 May 2023Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If (1+ 1+x ) x=1+ 1-x , then 4 x is

Options

  1. Ax
  2. B-x
  3. C4 x
  4. D-4 x

Correct answer

A. x

Step-by-step solution

(1+ 1+x ) x=1+ 1-x x= 1+ 1-x 1+ 1+x Put x= x= 1+ 1- 1+ 1+ aligned & = 1+ ( 2 - 2 )^2 1+ ( 2 + 2 )^2 & = 1+ 2 - 2 1+ 2 + 2 & = 2 ^2 4 -2 4 4 2 ^2 4 +2 4 4 & = 2 ^2 4 (1- 4 ) 2 ^2 4 (1+ 4 ) aligned x= ( 4 - 4 ) [ 4 =1 ] aligned & x= - 4 & 4 x= ( - )= =x aligned

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