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BITSAT2024MathematicsArea Under CurvesActual

If a, c, b are in GP, then the area of the triangle formed by the lines a x+b y+c=0 with the coordinates axes is equal to

Options

  1. A1
  2. B2
  3. C1 2
  4. DNone of these

Correct answer

C. 1 2

Step-by-step solution

Given a, c, b are in GP c^2=a b ...(i) According to question, aligned Area of O A B & = | 1 2 O A O B | = & | 1 2 ( -c b ) ( -c a ) | & = 1 2 c^2 a b = 1 2 [by Eq. (i)] aligned

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