It is known that the parameter equation of the straight line is x = 1 + 2T, y = 2 + t Given the linear parameter equation {x = 1 + 2T, y = 2 + T (t is the parameter)}, then the chord length of the line cut by the circle x ^ 2 + y ^ 2 = 9 is In my teaching assistant answer, I changed this formula into x = 1 + 2 / root 5T and y = 2 + 1 / root 5T. How does this change

It is known that the parameter equation of the straight line is x = 1 + 2T, y = 2 + t Given the linear parameter equation {x = 1 + 2T, y = 2 + T (t is the parameter)}, then the chord length of the line cut by the circle x ^ 2 + y ^ 2 = 9 is In my teaching assistant answer, I changed this formula into x = 1 + 2 / root 5T and y = 2 + 1 / root 5T. How does this change

Let t be a new parameter, and the two t's are different. 2 / root 5 is a straight line cos, and 1 / root 5 is sin
Substitute XY in x = 1 + 2 / radical 5T and y = 2 + 1 / radical 5T into x ^ 2 + y ^ 2 = 9
We obtain a quadratic equation of two variables with T. by means of Weida's theorem, the absolute value of (T1 minus T2) is the chord length