Question

find the point where the line 2x + y - 6 = 0​

Answer 1

2x+6=y

x2+y2−2y−9=0

x2+(2x+6)2−2y−9=0

x2+4x2+36+24x−2y−9=0

5x2+24x+27−2(2x+6)=0

5x2+24x+27−4x−12=0

5x2+20x+15=0

x2+4x+3=0

x2+3x+x+3=0

x(x+3)+1(x+3)=0

(x+3)(x+1)=0

x=−1,−3

y=4,0

So. These points will be Diametrically end's points.

(x+1)(x+3)+(y−4)(y−0)=0

x2+4x+3+y2−4y=0