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MHT CET2017MathematicsArea Under Curves

The area of the region bounded by the lines y = 2 x + 1 , y = 3 x + 1 and x = 4 is

Options

  1. A16 sq. unit
  2. B121 3 sq.unit
  3. C121 6 sq.unit
  4. D8 sq. unit

Correct answer

D. 8 sq. unit

Step-by-step solution

A (shaded region) = A Δ A B D - A Δ A B C = 1 2 4 × 12 - 4 × 8 = 1 2 48 - 32 = 8 sq.units. OR A = Δ A C D = 1 2 0 1 1 4 9 1 4 13 1 = 1 2 × 16 = 8

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