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Q.

The set of all real values of  for which exactly two common tangents can be drawn to the
circle x2+y2-4x-4y+6=0 and x2+y2-10x-10y+λ=0is the interval 
 

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a

(12, 32) 
 

b

(12, 24) 
 

c

(18, 42) 
 

d

(18, 48) 
 

answer is B.

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Detailed Solution

C1=(2, 2) ,r1=2 C2=(5, 5) ,r2=50-λ From given data r1-r2<C1C2<r1+r2 2-50-λ<18<2+50-λ 18<λ<42 

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