question_answer

The area of the region bounded by \[y=\left| x \right|-5\] with the coordinate axes is [SSC CGL Tier II, 2012]

A) 25 sq units

B) 52 sq units

C) 50 sq units

D) 20 sq units

Correct Answer: A

Solution :

[a] Given,          \[y=\left| x \right|-5\]             \[\Rightarrow \]               \[y=-x-5\] or                     \[y=x-5\] Area of bounded region                                          \[=\frac{1}{2}\times AC\times OB\] \[=\frac{1}{2}\times 10\times 5\] \[=25\,\text{sq}\,\text{units}\]