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MHT CET202415 May 2024Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If A + B =225^ , then A 1+ A B 1+ B , if it exists, is equal to

Options

  1. A0
  2. B1
  3. C2
  4. D1 2

Correct answer

D. 1 2

Step-by-step solution

aligned & A 1+ A B 1+ B & = 1 (1+ A)(1+ B) & = 1 A+ B+1+ A B aligned aligned & = 1 1- A B+1+ A B & [ array l (A+B)= 225^ A+ B=1- A B array ] & = 1 2 aligned

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