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MHT CET202410 May 2024Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

The value of (1+ 8 ) (1+ 3 8 ) (1+ 5 8 ) (1+ 7 8 ) is

Options

  1. A1 8
  2. B-1 8
  3. C1 16
  4. D-1 16

Correct answer

A. 1 8

Step-by-step solution

(1+ 8 ) (1+ 7 8 ) (1+ 3 8 ) (1+ 5 8 )= (1+ 8 ) (1- 8 ) (1+ 3 8 ) (1- 3 8 ) [ ( - )=- ] aligned & = (1- ^2 8 ) (1- ^2 3 8 ) & = ^2 8 ^2 3 8 & = 1 4 (2 8 3 8 )^2 & = 1 4 ( 4 - 2 )^2 & = 1 8 aligned

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