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BITSAT2009MathematicsDifferential EquationsActual

Area of the triangle formed by the line (x+y=3 ) and angle bisectors of the pair of straight lines (x^2-y^2+2 y=1 ) is

Options

  1. A2 sq. units
  2. B4 sq. units
  3. C6 sq. units
  4. D8 sq. units

Correct answer

A. 2 sq. units

Step-by-step solution

( x ^2- y ^2+2 y =1 x = ( y -1) ) Bisectors of above line are (x=0 ~ &~ y=1 ) So area between (x=0, y=1 ~ &~ x+y=3 ) is shaded Region shown in figure. Area (=1 / 2 2 2=2 ) sq. units

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