Q. The area bounded by the curves $y = |x| - 1$ and $y = - |x| + 1$ is
A) 1 sq unit
B) 2 sq unit
C) $2\sqrt{2}$ sq unit
D) 4 sq unit
Explanation
(b)
The lines are $y = x - 1,\ x \geq 0$
[image:8_image71.emf]
$y = - x - 1,\ x < 0 = - x + 1,\ x \geq 0$ and $y = x + 1,\ x < 0$
Required area $= (4 \times area\ of\ \mathrm{\Delta}\ AOB)$
$= 4 \times \left( \frac{1}{2} \times 1 \times 1 \right)$
$= 2$ sq unit
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.