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The area of the triangle formed by the graph of 3x + 4y = 12, x-axis and y-axis (in sq. units) is
4
12
6
8
x-axis ⇒ y = 0, putting in equation 3x + 4y = 12 3x = 12 ⇒ x = 4 ⇒ Co-ordinates of point of intersection on x-axis = (4, 0) Putting on y-axis = (0, 3) ∴ (0, 3) OA = 4 OB = 3 = 1/2 × OA × OB = 1/2 x 4 x 3 = 6 sq. units
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