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Question

The condition for the coaxial system x2+y2+2λx+c=0, where λ is a parameter and c is a constant, to have distinct limiting points is

A
c=0
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B
c<0
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C
c=1
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D
c>0
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Solution

The correct option is B c>0
Radical axis is x=0
System have distinct limiting points.
So, r<d
d is the distance of centre (λ,0) from line x=0
So,
d=λ1=λ
r<d
λ2c<λ2
c>0

57580_32610_ans_c7539700b8f040d0b01e931649154fb5.png

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