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

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 tangent to the curve v) x^2+xy+y^2 = 3at(1,1)

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 equation of the tangent to the curve (ii) x^2 +5y^2 = 9at (2,-1)

Find the equation of the tangent to the curve (iv) y^2 = 4x +5at (1,3)

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 straight line passing through the point (ii) (1, -5) and perpendicular to the line 2x + 5y + 4 = 0

What is the eccentricty of the hyperbola 9x^2-16y^2=144 .