The area of the triangle with the vertices (a, a), (a + 1, a) and (a, a + 2) is
Explanation:
Area (∆) = x1y11x2y22x3y33
where x1 = y1 = a, x2 = a + 1, y2 = a, x3 = a and y3 = a + 2
∴ Area (∆) = 12aa1a+1a1aa+121
∴ Area (∆) = 12{a[a(1) - (a + 2)(1)] - a[(a + 1)(1) - a(1)] + 1[(a + 1)(a + 2) - a2]} = 12 {- 2a - a + 3a + 2} = 1
Hence, option (b).
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.