Find the equation of the tangent to the hyperbola `4x^(2) - 9y^(2) = 1`. Which is parallel to the line 4y = 5x + 7.

Find the equations of the tangents to the hyperbola 4x^2 - 9y^2 = 36 which are parallel to the line 5x-3y=2 .

The equation of the tangent to the hyperbola 2x^(2)-3y^(2)=6 which is parallel to the line y=3x+4 , is

Find the equation of the tagent to the hyperbola x^(2)-4y^(2)=36 which is perpendicular to the line x-y+4=0 .

Find the equation of the tangent to the parabola y^(2)=4x+5 which is parallel to the straight line y=2x+7

Find the equation of the tangent to the curve x^(2) + 3y = 3 , which is parallel to the line y - 4x + 5 = 0

The equation of the tangent to the parabola y^(2) = 8x, which is parallel to the line 2x-y+7=0 ,will be

The equation of the tangents to the ellipse 4x^(2)+3y^(2)=5 , which are parallel to the line y=3x+7 are

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 equation of the tangent to the curve : y=3x^(2)-2x+5 , which is parallel to the line 4x-y=10 .