It is known that the parameter equation of the line L is x = 4-2t, y = T-2, P is any point on the ellipse X / 4 + y = 1 Find the maximum distance from point P to line L

It is known that the parameter equation of the line L is x = 4-2t, y = T-2, P is any point on the ellipse X / 4 + y = 1 Find the maximum distance from point P to line L

The parametric equation with X / 4 + y = 1
y=cosa
x=2sina
The parameter equation of line L is x = 4-2t, y = T-2
Then the general equation of line L is:
x+2y=0
Using the formula of distance from point to line to get the maximum distance from point P to line L
Do it yourself