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MHT CET202620 April 2026Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If x + y = 4 , then (1 + x)(1 + y) =

Options

  1. A1
  2. B2
  3. C3
  4. D0

Correct answer

B. 2

Step-by-step solution

Given x + y = 4 Taking on both sides: (x + y) = ( 4 ) x + y 1 - x y = 1 x + y = 1 - x y x + y + x y = 1 Adding 1 to both sides: 1 + x + y + x y = 2 (1 + x)(1 + y) = 2 Answer: 2

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