The two circles x2+y2−2x−3=0  and x2+y2−46y−8=0  are such that

The two circles are x2+y2−2x−3=0  and x2+y2−4x−6y−8=0 . C'(2,3)  respectively and their radii are 2 and 21  respectively, Here, |CC'|=(2−1)2+(3−0)2=10 Since |2−21|<|CC'|<2+21 . Therefore, the two circles interest in two distinct points