Statement 1 : The equations of tangents ...

Statement 1 : The equations of tangents to the hyperbola `2x^2-3y^2=6` which is parallel to the line `y=3x+4` are `y=3x-5` and `y=3x+5.` Statement 2 : For a given slope, two parallel tangents can be drawn to the hyperbola.

Similar Questions

Explore conceptually related problems

The equation of the tangent to the hyperbola 2x^(2)-3y^(2)=6 which is parallel to the line y=3x+4 , is

The equation of a tangent to the hyperbola 3x^(2)-y^(2)=3 , parallel to the line y = 2x +4 is

The equation of a tangent to the hyperbola 9x^2 - 12y^2 = 144 parallel to the line x- y=5 is:

The equation of a tangent to the hyperbola 4x^(2)-5y^(2)=20 parallel to the line x-y=2 is

Find the equations of the tangents to the hyperbola 4x^2 - 9y^2 = 36 which are parallel to the line 5x-3y=2 .

The equation of the tangents to the ellipse 4x^(2)+3y^(2)=5 , which are parallel to the line y=3x+7 are