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NDA Mathematics Trigonometric Ratios & Identities 2026 NDA 2026 (Phase 1)

NDA Mathematics Question (2026) — Solution

Question

If 2 4 = 2 + 2 , then which one of the following is a possible value of ( + ) ?

Options

  1. A. 2
  2. B. 4
  3. C. 6
  4. D. 8

Answer

D. 8

Step-by-step solution

The given equation is 2 4 = 2 + 2 We know that + = + = 1 = 2 2 Substituting = 2 , we get 2 + 2 = 2 4 The equation becomes 2 4 = 2 4 1 4 = 1 4 4 = 4 4 = ( 2 - 4 ) The general solution is 4 = 2n ( 2 - 4 ) where n is an integer. Taking the positive sign, we get: 4 = 2n + 2 - 4 4( + ) = 2n + 2 + = n 2 + 8 For n = 0, a possible value is + = 8 Answer: 8

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