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

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.

TuteeHUB · Accepted Answer

2x²-y² ( frac{a^2}{3} ) log u2061x-k = 0

TuteeHUB · Answer

x2-y2-3a2 log u2061x-k = 0

TuteeHUB · Answer

x2+2y2   (  frac{a^2}{2}  ) log u2061x-k = 0

TuteeHUB · Answer

x2+y2-2a2 log u2061x-k = 0

TuteeHUB · Answer

2x2-y2   (  frac{a^2}{3}  ) log u2061x-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.	x<sup>2</sup>-y<sup>2</sup>-3a<sup>2</sup> log u2061x-k = 0
B.	x<sup>2</sup>+2y<sup>2</sup> ( frac{a^2}{2} ) log u2061x-k = 0
C.	x<sup>2</sup>+y<sup>2</sup>-2a<sup>2</sup> log u2061x-k = 0
D.	2x<sup>2</sup>-y<sup>2</sup> ( frac{a^2}{3} ) log u2061x-k = 0
Answer» D. 2x<sup>2</sup>-y<sup>2</sup> ( frac{a^2}{3} ) log u2061x-k = 0

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