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      Question

      The area (in sq, units) of the triangle formed by the

      graphs of 8x + 3y = 24, 2x+8 = y and the x – axis is:
      A 28 Correct Answer Incorrect Answer
      B 14 Correct Answer Incorrect Answer
      C 15 Correct Answer Incorrect Answer
      D 24 Correct Answer Incorrect Answer

      Solution

      8x + 3y = 24 and 2x + 8 = y and x-axis For base :- difference between x intercept For height :- point of intersection of two line For height = put y = 2x + 8 8x + 3(2x + 8) = 24 8x + 6x + 24 = 24 14x = 0, x = 0 Y = 2 × 0 + 8 = 8 → height Base :- x-intercept put y = 0 = 8x + 3 × 0 = 24 = [x1 = 3] = 2x + 8 = 0, x2 = -4] Difference = 3 – (- 4) = 7 Area of triangle = ½ × 7 × 8 = 28

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