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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 \( S \).
\( \mathrm{P} \)
Tangents \( P A \) and \( P B \) are drawn to the circle \( S \) from the
W points \( P \) on the line \( x+y=1 \). The chord of contact \( A B \) passes through the fixed point
(a) \( \left(\frac{-1}{2}, \frac{3}{2}\right) \)
(b) \( \left(\frac{1}{2}, \frac{-5}{2}\right) \)
(c) \( \left(\frac{1}{2}, \frac{5}{2}\right) \)
(d) \( \left(\frac{1}{2}, \frac{-3}{2}\right) \)
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