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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 para

Posted: Thu Jul 14, 2022 9:29 am
by answerhappygod
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