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`

Find the equation of tangents to the curve 4x^2-9y^2=1 which are parallel to 4y=5x+7.

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 = (x +1)/(x -1) which are parallel to the line x + 2y = 6

Find the equations of tangents to the circle x^2+y^2-22 x-4y+25=0 which are perpendicular to the line 5x+12 y+8=0

Find the equations of the tangents: to the parabola 4x^(2)-y^(2)=64 which are parallel to 10x-3y+9=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 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 equation of the tangent to the curve y= sqrt(3x-2) which is parallel to the line 4x-2y+5=0.

The equation of the normal to the circle x^(2) + y^(2) -2x- 2y + 1=0 which is parallel to the lines 2x + 4y =3 is