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AP EAMCET2005MathematicsStraight Lines

The area (in square units) of the triangle formed by the lines x=0, y=0 and 3 x+4 y=12 , is

Options

  1. A3
  2. B4
  3. C6
  4. D12

Correct answer

C. 6

Step-by-step solution

Given that aligned & x=0, y=0 & and 3 x+4 y=12 & or x 4 + y 3 =1 aligned Intercepts points are A(4,0) and B(0,3) . It is clear from the figure, Area of aligned O A B & = 1 2 O A O B= 1 2 4 3 & =6 sq. units aligned

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