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The area of the triangle, formed by the straight lines \(y = 0, 12x - 5y = 0,\) and \(3x + 4y = 7\) is

Question and options

The area of the triangle, formed by the straight lines y=0,12x−5y=0,y = 0, 12x - 5y = 0, and 3x+4y=73x + 4y = 7 is
  1. 3527\frac{35}{27}
  2. 149\frac{14}{9}
  3. 289\frac{28}{9}
  4. 3554\frac{35}{54}

Answer and explanation

Correct answer: B - \(\frac{14}{9}\)
Vertices (0,0), (7/3,0) and the intersection of 12x = 5y with 3x+4y = 7, which is (5/9, 4/3). Area = 1/2 * 7/3 * 4/3 = 14/9.

Practice for these exams

  • IPMAT Indore

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