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AP EAMCET20228 Jul 2022Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If 1- 23^ = x 1- 22^ , then x=

Options

  1. A1
  2. B2
  3. C1 2
  4. D3

Correct answer

B. 2

Step-by-step solution

Given, 1- 23^ = x 1- 22^ aligned & x= (1- 23^ ) (1- 22^ ) & x= ( 23^ - 23^ ) 23^ ( 22^ - 22^ ) 22^ aligned ( 23^ 22^ + 23^ 22^ ) aligned & x= - ( 23^ 22^ + 23^ 22^ ) 23^ 22^ & x= (23^ -22^ )- (23^ +22^ ) 23^ 22^ aligned x= 2 ( 1^ - 45^ ) 2 23^ 22^ = 2 ( 1^ -1 / 2 ) ( 1^ - 45^ ) = 2 ( 1^ -1 / 2 ) ( 1^ -1 / 2 ) =2

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