Questions
The differential equation of the ellipse with centre at origin and ends of one axes of symmetry at is
a
x2−1y1−xy=0
b
x2+1y1−xy=0
c
xy1+x2+1y=0
d
x2−1y11+x-1y1=0
detailed solution
Correct option is A
Let the ends of other axis of symmetry be 0,±a . Then the equation of the ellipse is x2+y2a2=1→a2x2+y2=a2......(1) Dwr to x→2a2x+2yy1=0→a2=−yxdydx.......(2) From 1 and 2⇒x2−1dydx−xy=0 .Talk 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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