Given that the circle C: x ^ 2 + y ^ 2-10x = 0, the chord length of the line L passing through the origin cut by the circle C is 8, the equation of the line L is obtained

Given that the circle C: x ^ 2 + y ^ 2-10x = 0, the chord length of the line L passing through the origin cut by the circle C is 8, the equation of the line L is obtained

Let l be y = KX, and circle C be reduced to the standard formula: (X-5) &# 178; + Y & # 178; = 25
Then according to the relationship between chord center distance, chord length and radius, K can be obtained
Chord center distance is the distance from the center of the circle to the chord, which can be calculated according to the distance from the point to the line: D = 5K / √ (K & # 178; + 1)
According to: D & # 178; + 4 & # 178; = 25, k = ± 3 / 4
∴l：y=±3/4