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MHT CET202617 April 2026Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If 43^ + 43^ = k^3 , then 2^ =

Options

  1. A- k^3 2
  2. Bk^3 2
  3. C- k^3 3
  4. Dk^3 3

Correct answer

B. k^3 2

Step-by-step solution

Given 43^ + 43^ = k^3 Multiplying and dividing the LHS by 2 : 2 ( 1 2 43^ + 1 2 43^ ) = k^3 2 ( 45^ 43^ + 45^ 43^ ) = k^3 Using the identity A B + A B = (A + B) : 2 (45^ + 43^ ) = k^3 2 88^ = k^3 Since = (90^ - ) : 2 (90^ - 88^ ) = k^3 2 2^ = k^3 2^ = k^3 2 Answer: k^3 2

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