Show that the family of curves for wh...

Show that the family of curves for which the slope of the tangent at any point (x, y) on it is `(x^2+y^2)/(2x y)` , is given by `x^2" "y^2=" "c x` .

Similar Questions

Explore conceptually related problems

Show that the family of curves for which the slope of the tangent at any point (x,y) on it is (x^(2)+y^(2))/(2xy), is given by x^(2)-y^(2)=cx

The slope of the tangent at the point (2-2) to the curve x^(2)+xy+y^(2)-4=0 is given by

Show that all curves for which the slope at any point (x,y) on it is (x^2+y^2)/(2xy) are rectangular hyperbola.

Find the equation of a curve, passes through (-2,3) at which the slope of tangent at any point (x,y) is (2x)/(y^(2)) .

The family of curves in which the sub tangent at any point of a curve is double the abscissa, is given by x=Cy^(2) b.y=Cx^(2) c.x^(2)=Cy^(2) d.y=Cx

The point on the curve y=2x^(2) , where the slope of the tangent is 8, is :

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

The slope of the tangent to the curve y=6+x-x^(2) at (2,4) is

Find the slope of the tangent to the curve y=x^(3)-xquad at x=2

Find the slope of the tangent to the curve y(x^2+1)=x at the point (1, 1/2)