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MHT CET20239 May 2023Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If 18^ = 5 -1 4 , then ^2 48^ - ^2 12^ has the value

Options

  1. A- 5 +1 8
  2. B5 -1 8
  3. C5 +1 8
  4. D- 1 - 5 8

Correct answer

C. 5 +1 8

Step-by-step solution

array ll & ^2 ~A - ^2 ~B = ( A + B ) ( A - B ) & ^2 48^ - ^2 12^ = (60^ ) (36^ ) & = 1 2 (1-2 ^2 36 2 ) & = 1 2 (1-2 ^2 18^ ) & = 1 2 [1-2 ( 5 -1 4 )^2 ] & = 5 +1 8 array

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