Find the equation of tangents to the curve
`y = cos(x + y), – 2pi lt= x lt= 2pi`
that are parallel to the line x + 2y = 0.

Find the equation of the tangent line to the curve y = x^(2) – 2x +7 which is (a) parallel to the line 2x – y + 9 = 0 (b) perpendicular to the line 5y – 15x = 13.

Find the equations of the tangents to the curve y = (x +1)/(x -1) which are parallel to the line x + 2y = 6

Find the equation of the normals to the curve y = x^(3) + 2x + 6 which are parallel to the line x + 14y + 4 = 0.

Find the equation of tangent and normal to the curve y = x^(2) + 3x + 2 at (0, 2)

Find the equation of the tangents to the curve y = 1 + x^(3) for which the tangent is orthogonal with the line x + 12y = 12 .

Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8=0.

Find the equations of the tangents to the curve y=(x+1)/(x-1) which are parallel to the line x + 2y = 6.

Find the equation of the tangent to the curve x^(2) + y^(2) = 5^(2) which are parallel to 2x + 3y =6

Find the equations of the tangents to the curve y=1+x^(3) for which the tangent is orthogonal with the line x + 12y = 12.

Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 which are parallel to the straight line 4x+3y+5=0