The parametric equation of known ellipse {x = 3cos θ, y = 2Sin θ (θ is a parameter) Find the shortest distance from the moving point P on the ellipse to the straight line {x = 2-3T, y = 2 + 2T (t is a parameter)

The parametric equation of known ellipse {x = 3cos θ, y = 2Sin θ (θ is a parameter) Find the shortest distance from the moving point P on the ellipse to the straight line {x = 2-3T, y = 2 + 2T (t is a parameter)

Because the straight line is {x = 2-3T, y = 2 + 2T} (t is the parameter), the rectangular coordinate equation is 2x + 3y-10 = 0. Because P is on the ellipse, the parameter equation of the ellipse {x = 3cos θ, y = 2Sin θ (θ is the parameter)}, so the coordinates of P point are (3cos θ, 2Sin θ). Therefore, the distance d = I2 × 3C is obtained from the formula of the distance between point and straight line

What are the properties of the Quasilinear equation of an ellipse

X = a ^ 2 / C, on the outside of the ellipse, the ellipse equation can be solved by using the guide line. The ratio of the distance from any point on the ellipse to the focus and the distance from the point to the corresponding guide line is equal to the eccentricity E

How to solve the Quasilinear equation of ellipse?

The elliptic quasilinear equation is x = ± a ^ 2 / C

How to draw the Quasilinear equation of ellipse?

For Elliptic Equations (take the focus on the x-axis as an example)
X ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0, a is the semi major axis, B is the semi minor axis, C is half of the focal length)
The Quasilinear equation x = a ^ 2 / C, x = - A ^ 2 / C