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MHT CET202415 May 2024Morning ShiftMathematicsArea Under CurvesActual

If two sides of a square are 4 x+3 y-20=0 and 4 x+3 y+15=0 , then the area of the square is

Options

  1. A36 sq. units
  2. B16 sq. units
  3. C4 sq. units
  4. D49 sq. units

Correct answer

D. 49 sq. units

Step-by-step solution

Given equations of lines are 4 x+3 y-20=0 and 4 x+3 y+15=0 Slope of 4 x+3 y-20=0 is -4 3 . Slope of 4 x+3 y+15=0 is -4 3 Lines are parallel. Distance between two parallel lines aligned & = | c₁-c₂ a^2+b^2 | & = | -20-15 4^2+3^2 | & = 35 5 =7 units aligned Area of square =7^2=49 sq. units

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