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A normal at P(x , y) on a curve meets...

A normal at `P(x , y)` on a curve meets the x-axis at `Q` and `N` is the foot of the ordinate at `Pdot` If `N Q=(x(1+y^2))/(1+x^2)` , then the equation of curve given that it passes through the point `(3,1)` is (a) `( b ) (c) (d) x^(( e )2( f ))( g )-( h ) y^(( i )2( j ))( k )=8( l )` (m) (b) `( n ) (o) (p) x^(( q )2( r ))( s )+2( t ) y^(( u )2( v ))( w )=11 (x)` (y) (c) `( d ) (e) (f) x^(( g )2( h ))( i )-5( j ) y^(( k )2( l ))( m )=4( n )` (o) (d) None of these

A

`5(1+y^(2))=(1+x^(2))`

B

`(1+y^(2))=5(1+x^(2))`

C

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

D

None of these

Text Solution

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The correct Answer is:
A
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