JEE Advanced Mathematics question

The order and degree of the differential equation of the family of ellipses having the same foci, are respectively

Answer: (D)

Solution

Take the common foci as with fixed. Every ellipse with these foci has , so the family (confocal ellipses) is

+=1,

with a single parameter ⇒ order 1.

Let . Differenti

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Question ID VK-109602