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a
variable radii and fixed centre at 1,0
b
variable radii and fixed centre at 0,-1
c
fixed radius 1 and variable centre along y- axis
d
fixed radius 1 and variable centre along x- axis
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Correct option is D
We have, dydx=1−y2y∣ On integrating both sides we get ∫y1−y2dy=∫dx⇒−12∫−2y1−y2dy=∫dx⇒−1−y2=x+c On squaring both sides, we get (x+c)2+y2=1Which is the equation of circle whose fixed radius is 1 and centre is variable on x- axisSimilar Questions
The general solution of the differential equation is
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