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MHT CET202615 April 2026Evening ShiftMathematicsTrigonometric EquationsActual

If 4 - 2 = 2 , then =

Options

  1. An + 8 , n 5 + 6 , n Z
  2. Bn + 6 , n 5 + 8 , n Z
  3. Cn + 2 , n 5 + 10 , n Z
  4. Dn + 3 , n + 10 , n Z

Correct answer

C. n + 2 , n 5 + 10 , n Z

Step-by-step solution

Given equation: 4 - 2 = 2 1 4 - 1 2 = 2 2 - 4 = 2 4 2 Using the formula 2 A B = (A+B) + (A-B) : 2 - 4 = 6 + 2 - 4 = 6 6 + 4 = 0 Using the formula C + D = 2 ( C+D 2 ) ( C-D 2 ) : 2 5 = 0 5 = 0 or = 0 For = 0 , we get = n + 2 , n Z For 5 = 0 , we get 5 = n + 2 = n 5 + 10 , n Z Both sets of solutions are valid as they do not make 2 = 0 or 4 = 0 . Answer: n + 2 , n 5 + 10 , n Z

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