Question:
Area of the region bounded by $y = |x|$ and $y = -|x| + 2$ is
Area of the region bounded by $y = |x|$ and $y = -|x| + 2$ is
Updated On: June 02, 2025
- 4 s units
- 3 s units
- 2 s units
- 1 s units
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The Correct Option is C
Solution and Explanation
In figure, $B=(0,2) \Rightarrow O B=2$
and $O A B C$ is a square.
So, side of length $=\sqrt{2}$ units
$\therefore$ Area of $O A B C=2$ sq units
and $O A B C$ is a square.
So, side of length $=\sqrt{2}$ units
$\therefore$ Area of $O A B C=2$ sq units
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WBJEE Notification
Concepts Used:
Applications of Integrals
There are distinct applications of integrals, out of which some are as follows:
In Maths
Integrals are used to find:
- The center of mass (centroid) of an area having curved sides
- The area between two curves and the area under a curve
- The curve's average value
In Physics
Integrals are used to find:
- Centre of gravity
- Mass and momentum of inertia of vehicles, satellites, and a tower
- The center of mass
- The velocity and the trajectory of a satellite at the time of placing it in orbit
- Thrust