Choose incorrect statement about two circles whose equations are given below x^{2}+y^{2}-10 x-10 y+4

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10-1.Circle and System of Circles

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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.

(JEE MAIN-2021)

Solution

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

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

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

Standard 11

Mathematics

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