Solutions of the differential equation (1-x^{2}) \frac{d y}{d x}+x y=a x where a \in R, is:

a conic which is an ellipse or a hyperbola with principal axes parallel to coordinates axes.

length of one of the principal axes is 1

length of one of the principal axes is equal to 2 .

JEE Advanced 2020 Full Test 3 Paper 2

Question : 50 of 54

Marks: +1, -0

Solutions of the differential equation (1−x2)‌

+xy=ax where a∈R, is:

a conic which is an ellipse or a hyperbola with principal axes parallel to coordinates axes.
centre of the conic is (0, a).
length of one of the principal axes is 1
length of one of the principal axes is equal to 2 .

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