1.

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Answer»

Given coordinates are (1,1), (a+1, a+1), (a+2, a)

Area of triangle = 1/2(x1(y2-y3)+x2(y3-y1)+x3(y1-y2))

= 1/2(1(a+1 - a) + (a+1)(a - 1) + (a+2)(1 - a - 1)

= 1/2[ 1 + a^2 - 1 - a^2 - 2a]

= - 2a/2

= - a

(d) is correct option



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