Question
Mathematics Question on Curves
The orthogonal trajectories of the family of curves y = ax3 is
A
2x2+3y2=c
B
x2+3y2=c
C
3x2+y2=c
D
x2+y2=c
Answer
x2+3y2=c
Explanation
Solution
The correct option is (B):x2+3y2=c
The orthogonal trajectories of the family of curves y = ax3 is
2x2+3y2=c
x2+3y2=c
3x2+y2=c
x2+y2=c
x2+3y2=c
The correct option is (B):x2+3y2=c