Home
Class 12
MATHS
The slope of the tangent at (x , y) to a...

The slope of the tangent at `(x , y)` to a curve passing through a point `(2,1)` is `(x^2+y^2)/(2x y)` , then the equation of the curve is (a) `( b ) (c)2(( d ) (e) (f) x^(( g )2( h ))( i )-( j ) y^(( k )2( l ))( m ) (n))=3x (o)` (p) (b) `( q ) (r)2(( s ) (t) (u) x^(( v )2( w ))( x )-( y ) y^(( z )2( a a ))( b b ) (cc))=6y (dd)` (ee) (c) `( d ) (e) x(( f ) (g) (h) x^(( i )2( j ))( k )-( l ) y^(( m )2( n ))( o ) (p))=6( q )` (r) (d) `( s ) (t) x(( u ) (v) (w) x^(( x )2( y ))( z )+( a a ) y^(( b b )2( c c ))( d d ) (ee))=10 (ff)` (gg)

A

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

B

`2(x^2- y^2) =6y`

C

`x(x^2- y^2) =6`

D

`x(x^2+y^2) =10`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The slope of the tangent at (x,y) to a curve passing through a point (2,1) is (x^(2)+y^(2))/(2xy) then the equation of the curve is

The slope of tangent at (x,y) to a curve passing through (2, 1) is (x^(2)+y^(2))/(2xy) , then the equation of the curve is

The slope of the tangent at (x,y) to a curve passing through (1,(pi)/(4)) is given by (y)/(x)-cos^(2)((y)/(x)), then the equation of the curve is

If slope of tangent to any curve passing through (2,2) be (x^(2)-(y)/(x)) ,then equation of curve

If slope of the tangent at the point (x, y) on the curve is (y-1)/(x^(2)+x) , then the equation of the curve passing through M(1, 0) is :

The slope of the tangent at a point P(x, y) on a curve is (- (y+3)/(x+2)) . If the curve passes through the origin, find the equation of the curve.

Slope of the tangent to the curve y=x^(2)+3 at x=2 is

In Fig.88 P R is a straight line and /_P Q S :/_S Q R=7: 5. The measure of /_S Q R is (a) ( b ) (c) (d) (e) 60^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) 62 (m) (n) (o)1/( p )2( q ) (r)^(( s )0( t ))( u ) (v) (w) (c) ( d ) (e) 67 (f) (g) (h)1/( i )2( j ) (k)^(( l )0( m ))( n ) (o) (p) (d) ( q ) (r) (s) (t) 75^(( u )0( v ))( w ) (x) (y)

The slope of the tangent to the curve (y-x^(5))^(2)=x(1+x^(2))^(2) at the point (1,3) is.