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Q.

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

x2+y210x10y+41=0  and  x2+y216x10y+80=0

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a

Both circles centres lie inside region of one another

b

Circles have two intersection points

c

Distance between two centres is the average of radii of both the circles

d

Both circles pass through centre of the each other

answer is D.

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Detailed Solution

x2+y210x10y+41=0         C1=5,5 ,            r1=3     

x2+y216x10y+80=0          C2=8,5            r2=3  

Distance between centres = 3

Thus 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.

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