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MHT CET202416 May 2024Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

The value of 20^ +2 ^2 55^ - 2 65^ is

Options

  1. A0
  2. B1
  3. C-1
  4. D1 2

Correct answer

B. 1

Step-by-step solution

aligned & 20^ +2 ^2 55^ - 2 65^ & = 20^ +1- 2 (55^ )- 2 65^ & [2 ^2 =1- 2 ] & = 20^ - 110^ - 2 65^ +1 & =2 65^ 45^ - 2 65^ +1 & =2 65^ ( 1 2 )- 2 65^ +1 & = 2 65^ - 2 65^ +1 & =1 aligned

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