Choose the incorrect statement about the two circles whose equati… - Vidyadip

MCQ

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.
✓
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

Correct option: B.

Both circles' centres lie inside region of one another.

b
$r _{1}=3, c _{1}(5,5)$

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

$C _{1} C _{2}=3, r _{1}=3, r _{2}=3$

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