Given: Equation of the curve ……….(i)
Slope of tangent = …….(ii)
(a) Slope of the line is
Slope of tangent parallel to this line is also = 2
From eq. (ii),
From eq. (i),
Therefore, point of contact is (2, 7).
Equation of the tangent at (2, 7) is
(b) Slope of the line is =
Slope of the required tangent perpendicular to this line =
From eq. (ii),
From eq. (i),
= =
Therefore, point of contact is
Equation of the required tangent is