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the triangle formed

by sanju09 » Wed May 02, 2012 3:16 am
What is the area of the triangle formed by the x-axis, the line y = x, and the line y = - ½ x + 3?
(A) 3
(B) 6
(C) 9
(D) 12
(E) 15



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by Anurag@Gurome » Wed May 02, 2012 11:43 pm
sanju09 wrote:What is the area of the triangle formed by the x-axis, the line y = x, and the line y = - ½ x + 3?
(A) 3
(B) 6
(C) 9
(D) 12
(E) 15


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Area of the triangle when coordinates of the vertices are (x1, y1), (x2, y2), (x3, y3) = (1/2)[x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]
So, required area = (1/2)|0(2 - 0) + 2(0 - 0) + 6(0 - 2)| = 6 sq units

The correct answer is B.
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