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The solution of (dy)/(dx)=(x^2+y^2+1)/(2...

The solution of `(dy)/(dx)=(x^2+y^2+1)/(2x y)` satisfying `y(1)=1` is given by (a) a system of parabolas (b) a system of circles (c) `( d ) (e) (f) y^(( g )2( h ))( i )=x(( j ) (k)1+x (l))-1( m )` (n) (d) `( o ) (p) (q) (r)(( s ) (t) x-2( u ))^(( v )2( w ))( x )+( y ) (z)(( a a ) (bb) y-3( c c ))^(( d d )2( e e ))( f f )=5( g g )` (hh)

A

a system of hyperbola

B

a system of circles

C

`y^(2)=x(1+x)-1`

D

`(x-2)^(2)+(y-3)^(2)=5`

Text Solution

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The correct Answer is:
A,C
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