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If a, c, b are in G.P., 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

Area of the triangle = 1 2 ( x intercept ) ( y intercept )= 1 2 (- c a ) (- c b )= 1 2 c ² ab = 1 2 unit [ a , c , b . are in . G . P . c ²= ab ]

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