Find the equation of the tangent to the curve
(ii) `x^2 +5y^2 = 9at (2,-1)`

Find the equation of the tangent to the curve (iv) y^2 = 4x +5at (1,3)

Find the equation of the tangent to the curve v) x^2+xy+y^2 = 3at(1,1)

Find the equation of the tangent to the curve (i) y = x logx +1at(1,1)

Find the equations of the tangent and the normal to the curve x^ 2 - 4y^2 = 9 at the points (5,-2)

Find the equation of the tangent to the curve y=x log_e x + 2 at the point (1, 2).

Find the equation of the tangents to the circle x ^2 + y ^2 - 2x - 4y - 4 = 0 which are perpendicular to the line 3x - 4y - 1 = 0

Find the equation of the tangent line to the curve y = x^2-2x+7 which is parallel to the 2x -y +9 = 0

Find the inclination of the tangent to the curve 2y = 2-x^2 at the point(1,1/2)to the positive X-axis.

Find the equation of the tangents to the ellipse 3x ^2 + 4y ^2 = 12 which are perpendicular to the line 2x +y - 4 = 0.