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The equation of a curve passing through `(2,7/2)` and having gradient `1-1/(x^2)` at `(x , y)` is (a) `( b ) (c) y=( d ) x^(( e )2( f ))( g )+x+1( h )` (i) (b) `( j ) (k) x y=( l ) x^(( m )2( n ))( o )+x+1( p )` (q) (c) `( d ) (e) x y=x+1( f )` (g) (d) None of these

A

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

B

`xy=x^(2)+3`

C

`xy=x+5`

D

`xy=x^(2)+x+1`

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The correct Answer is:
A
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