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MHT CET202519 Apr 2025Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If 3 =5 , then ( + 2 ) ( - 2 )=

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

D. 4

Step-by-step solution

Given 3 = 5 , we express the ratio as = 5 3 . The expression ( + 2 ) ( - 2 ) can be transformed using the trigonometric identity: ( A+B 2 ) ( A-B 2 ) = A + B A - B Substituting A = and B = yields: + - Replacing with 5 3 gives: 5 3 + 5 3 - = ( 8 3 ) ( 2 3 ) Assuming 0 , simplification yields: 8 3 2 3 = 4 The value is therefore D .

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