What points is the tangent line of curve paralell to a vector?

[kelp]

Homework Statement

4x^2 - xy + y^2 = 4
At what points is the tangent line to the above curve vector [1 1]T? (T means I transposed the vector)

Homework Equations

The Attempt at a Solution

I have the gradient vector, but I'm conceptually lost about what to do after that.

 

[ideasrule]

How can the tangent line be a vector? Do you mean that the vector (1,1) is parallel to the tangent line? If so, just use implicit differentiation, substitute the appropriate value for dy/dx, and solve.