Choose the incorrect statement about the two circles whose equations are given below : x2 …

Question

Choose the incorrect statement about the two circles whose equations are given below :

x2 + y2 - 10x - 10y + 41 = 0 and

x2 + y2 - 16x - 10y + 80 = 0

Accepted Answer

S1 $$ \equiv $$ x2 + y2 - 10x - 10y + 41 = 0

Centre C1 $$ \equiv $$ (5, 5), radius r1 = 3

S2 $$ \equiv $$ x2 + y2 - 16x - 10y + 80 = 0

Centre C2 $$ \equiv $$ (8, 5), radius r2 = 3

Distance between centres = 3

Hence both circles pass through the centre of each other, have two intersection point and distance between two centres in average of radii of both the circles.

Hence, option (d) is the incorrect statement.

Solutions · 1