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The condition for the coaxial system x^...

The condition for the coaxial system ` x^(2) + y^(2) + 2 lambda x + c = 0 ` , where ` lambda ` is parameter and c is a constant , to have distinct limiting points is

A

c = 0

B

c lt 0

C

C = -1

D

C gt 0

Text Solution

Verified by Experts

The correct Answer is:
D
The limiting point of a coaxial system are `(sqrt(c ), 0)` which are distanct if C > 0, if c < 0, `sqrt(c )` imaginary number limiting points does not exist.
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