Given that a point m (3,0) is a circle x + y minus 8x minus 2Y + 10 = 0, how to find the linear equation of the longest chord at M?

Given that a point m (3,0) is a circle x + y minus 8x minus 2Y + 10 = 0, how to find the linear equation of the longest chord at M?

Circular equation: X & # 178; + Y & # 178; - 8x-2y + 10 = 0
x²-8x+16+y²-2y+1=7
(x-4)²+(y-1)²=7
The center of the circle is at C (4,1)
The longest string in a circle is naturally the diameter
That is, the connection between M (3,0) and C (4,1), that is, y = x-3

Elden Ring Premiere

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