Find the equation of the tanget to the parabola (i) y^2 = 4x which is parllel to 2x + y + 3 = 0

Find the equation of the tangent line to the curve y = x^2-2x+7 which is parallel to the 2x -y +9 = 0

Find the equations of the tangents to the hyperbola x ^2 - 2y ^2 = 18 which are perpendicular to the line x - y = 0.

Find the equations of two tagents to the circle x ^2 + y ^2 = 34 which are parallel to the straight line 5y - 3x + 7 = 0.

Find the differential equation of all parabolas : y^2 = 4ax

Find the equation of the tangents to the ellipse 3x ^2 + 4y ^2 = 12 which are perpendicular to the line 2x +y - 4 = 0.

Find the vertex and the directrix of the parabola y^2=8(x+1) .

Find the equation of the tangents to the circle x ^2 + y ^2 - 2x - 4y - 4 = 0 which are perpendicular to the line 3x - 4y - 1 = 0

Find the equation of the straight line which is parallel to 2x-y+3=0 and passes through the point (2,9).

Find the equation of the straight line passing through the point (i) (-1, 2) and parallel to 3x - 4y + 1 =0