SSC CGL Tier II 21 Sep 2014 Paper

(1) On putting x = 0 in x + y = 2,
0 + y = 2 ⇒ y = 2
∴ Point of intersection on yaxis = (0, 2)
Again, putting y = 0 in x + y = 2,
x = 2
∴ Point of intersection on xaxis = (2, 0)
x – y = 0 will pass through origin and be equally inclined to axes. On putting x = y in x + y = 2,
2y = 2 ⇒ y = 1
∴ CD = 1
OA = 2
Area of $\mathrm{\Delta }\mathit{O}\mathit{A}\mathit{C}=\frac{1}{2}\times \mathit{O}\mathit{A}\times \mathit{C}\mathit{D}$
$=\frac{1}{2}\times 2\times 1=1$ sq. unit