Find the equation of tangent to the curve which is parallel to the line. Also, write the equation of normal to the curve at the point of contact.
Given:
Differentiating both sides w.r.t x we get
and equation of the line
Applying condition of parallel line
Substituting value of in (1)
Point of contact
Slope of curve = 2
So Equation of tangent is
Equation of normal is: