Question

Choose the incorrect statement about the two circles whose equations are given below:
$x^{2}+y^{2}-10 x-10 y+41=0$ and $x^{2}+y^{2}-16 x-10 y+80=0$

• A. Distance between two centres is the average of radii of both the circles
• B. Both circles' centres lie inside region of one another
• C. Both circles pass through the centre of each other
• D. Circles have two intersection points

Answer 1

Answer: (B)

$r _{1}=3,\, c _{1}(5,5)$
$r _{2}=3,\, c _{2}(8,5)$
$C _{1} C _{2}=3,\, r _{1}=3, r _{2}=3$