Questions
The differential equation of all circles which passes through the origin and whose centre lies on y-axis is
a
(x2-y2)dydx−2xy=0
b
(x2-y2)dydx+2xy=0
c
(x2-y2)dydx-xy=0
d
(x2-y2)dydx+xy=0
detailed solution
Correct option is A
Required circle equation is x2+(y−a)2=a2→x2+y2−2ay=0......1 Dwr to x→2x+2yy1−2ay1=0→x+yy1y1=a⋯2 From 1 and 2 we get →x2+y2−2yx+yy1y1=0→x2−y2dydx−2xy=0Talk to our academic expert!
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The equation of the family of curves which intersect the hyperbola xy=2 orthogonally is
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