Find the orthogonal trajectories of the family of curves $\frac{x^2}{a^2} + \frac{y^2}{b^2+k} = 1$ where k is the parameter.

Question

TuteeHUB · Accepted Answer

2x2-y2–$\frac{a^2}{3}$  log⁡x-k = 0

TuteeHUB · Answer

x2-y2-3a2  log⁡x-k = 0

TuteeHUB · Answer

x2+2y2–$\frac{a^2}{2}$  log⁡x-k = 0

TuteeHUB · Answer

x2+y2-2a2  log⁡x-k = 0

TuteeHUB · Answer

2x2-y2–$\frac{a^2}{3}$  log⁡x-k = 0

1.	Find the orthogonal trajectories of the family of curves \(\frac{x^2}{a^2} + \frac{y^2}{b^2+k} = 1\) where k is the parameter.
A.	x2-y2-3a2 log⁡x-k = 0
B.	x2+2y2–\(\frac{a^2}{2}\) log⁡x-k = 0
C.	x2+y2-2a2 log⁡x-k = 0
D.	2x2-y2–\(\frac{a^2}{3}\) log⁡x-k = 0
Answer» D. 2x2-y2–\(\frac{a^2}{3}\) log⁡x-k = 0

Find the orthogonal trajectories of the family of curves \(\frac{x^2}{a^2} + \frac{y^2}{b^2+k} = 1\) where k is the parameter.