Question

Find the equation of all lines having slope 2 which are tangents to the curve. y=1/(x-3),x≠3

Answer 1

The equation of the given curve is 

The slope of the tangent to the given curve at any point (x, y) is given by,

If the slope of the tangent is 2, then we have:

Hence, there is no tangent to the given curve having slope 2.