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NDA2023MathematicsArea Under CurvesActual

For what value of m with m 0 , is the area bounded by the lines y=x, y=m x and x=2 equal to 3 ?

Options

  1. A- 1 2
  2. B-1
  3. C- 3 2
  4. D-2

Correct answer

A. - 1 2

Step-by-step solution

O(0,0) is the origin A= A (2,2), B= B (2,2 m) Area ( O A B)=3 1 2 | array ccc 0 & 0 & 1 2 & 2 & 1 2 & 2 m & 1 array |=3 |4 m-4|=6 4 m-4= 64 m=10,-2 m= 10 4 , -2 4 m 0 so, m=- 1 2

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