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AP EAMCET202319 May 2023Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If ( + )=5 ( - ) , then 2 5- 2 =

Options

  1. A( + )
  2. B( + )
  3. C( - )
  4. D( - )

Correct answer

D. ( - )

Step-by-step solution

aligned & ( + )=5 ( - ) & + aligned aligned & -5 -5 & 6 =4 aligned 3 =2 aligned & Now 2 5- 2 = ( 2 1+ ^2 ) 5- ( 1- ^2 1+ ^2 ) & array r (i) 2 = 2 1+ ^2 (ii) 2 = 1- ^2 1+ ^2 array . & 2 5- 2 = 2 5+5 ^2 -1+ ^2 = 2 4+6 ^2 & = 2[3 -2 ] 4 [1+ 3 2 ^2 ] & = [2 -2 ] 2 [1+ ( 3 2 ) ] & = - 1+ ( 2 2 ) & (from eq. (i) & = - 1+ = ( - ) & aligned (from eq. (i)

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