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MHT CET2019Evening ShiftMathematicsArea Under CurvesActual

The area of the region enclosed between pair of line x y = 0 and the lines x y + 5 x - 4 y - 20 = 0 is …..

Options

  1. A20 square units
  2. B4 5 square units
  3. C10 square units
  4. D6 square units

Correct answer

A. 20 square units

Step-by-step solution

Given pair of lines x y + 5 x - 4 y - 20 = 0 ⇒ x y + 5 - 4 y + 5 = 0 ⇒ y + 5 x - 4 = 0 ⇒ x = 4 , y = - 5 and also, x y = 0 ⇒ x = 0 , y = 0 Now, draw the graph of the pairs of line ∴ Required area of bounded region = 4 × 5 = 20 s q . u n i t s

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