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

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 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 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 to the curve y= sqrt(3x-2) which is parallel to the line 4x-2y+5=0.

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

Statement 1 : The equations of tangents to the hyperbola 2x^2-3y^2=6 which is parallel to the line y=3x+4 are y=3x-5 and y=3x+5. Statement 2 : For a given slope, two parallel tangents can be drawn to the hyperbola.

Find the equations of the tangent: to the parabola y^(2)=16x , parallel to 3x-2y+5=0