Show that the curves r^n=a^n cos(n theta) and r^n=b^n sin(n theta) intersect orthogonally.
Question
Question
Show that the curves r^n=a^n cos(n theta) and r^n=b^n sin(n theta) intersect orthogonally.
Topic
Angle between two polar curves
Problems
- Find the angle between the pair of curves r=6cos(theta) & r=2(1+cos(theta))
- Find angle between the curves r=a/ (1+cos(theta)) and r=b/ (1-cos(theta))
- Find the angle of intersection of the curves r=a(1+sin(theta)) and r=a(1-sin(theta))
- Find the angle between the curves r^2 sin(2theta)=4 and r^2=16 sin(2theta)
- Find the angle between the polar curves r=a(1-cos(theta)) and r=b(1+cos(theta))
- Show that the curves r^n=a^n cos(n theta) and r^n=b^n sin(n theta) intersect orthogonally.
- Find the angle between the two curves r=sin(theta)+cos(theta) and r=2sin(theta)
- Find the angle between the two curves r=a sec^2(theta/2) and r=acosec^2(theta/2)