1. The problem statement, all variables and given/known data

The equation of tangent is given t:2x+3y-2=0 and the equation of elipse E:x^2+4y^2=K
Find "a" and "b" and the coordinates of touching point D.

2. Relevant equations

equation of elipse: b^2x^2+a^2y^2=a^2b^2

equation for touching: a^2k^2+b^2=n^2

equation for K (if it is circular) : x^2+y^2=a^2

3. The attempt at a solution

Actually, I don't know what is K? Is it the equation of circular? Thanks.

Hint: The gradient of the ellipse is the same as the gradient of the tangent line at the point where the tangent touches the ellipse. Your "relevant equations" are irrelevant.