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Q.

Consider the circles x2+(y1)2=9,(x1)2+y2=25.

They are such that

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a

one of these circles lies entirely inside the other

b

each of these circles lies outside the other

c

these circles touch each other

d

they intersect in two point

answer is B.

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Detailed Solution

Centres and radii of the given circles are:

Centres:           C1(0,1) C2(1,0)

Radii                r1=3 r2=5

Clearly,    C1C2=2<r2r1

Therefore, one circle lies entirely inside the other.

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