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 .

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

Find the equations of the tangents to the circle x^(2)+y^(2)=9 , which (i) are parallel to the line 3x+4y-5=0 (ii) are perpendicular to the line 2x+3y+7=0 (iii) make on angle of 60^(@) with the X-axis

The equation of a tangent to the hyperbola 9x^2 - 12y^2 = 144 parallel to the line x- y=5 is:

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