Manipal MET2010MathematicsArea Under Curves
The area of the loop the curve a y^2=x^2(a-x) is
Options
- A8 a^2 15 sq unit
- B4 a^2 15 sq unit
- C2 a^2 15 sq unit
- DNone of these
Correct answer
A. 8 a^2 15 sq unit
Step-by-step solution
The area of the loop of the curve a y^2=x^2(a-x) is given by 2 ₀^a y d x=2 ₀^a x a-x a d x=4 a^2 ₀^ / 2 ^3 ^2 d [Let x=a ^2 d x=2 a d ]=4 a^2 2 1 5 3 1 = 8 a^2 15 sq unit.