Consider the relation \( 4 l^{2}-5 m^{2}+6 l+1=0 \), where \( l, m ...

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Consider the relation \( 4 l^{2}-5 m^{2}+6 l+1=0 \), where \( l, m \in R \), and the line \( l x+m y+1=0 \) touches a fixed circle \( S \).
P
If the line \( x-2 y+c=0 \) intersects the fixed circle
W) \( S \) orthogonally, then \( c \) equals
(a) \( -3 \)
(b) \( -2 \)
(c) 2
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