Comprehension The line \( y=a x+b \) intersects the curve \( c: x^{2}+y^{2}+6 x+10 y+1=0 \) at t...

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Counter-Strike: Source
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Counter-Strike: Source (2004)
Duration: 6:54
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Comprehension
The line \( y=a x+b \) intersects the curve \( c: x^{2}+y^{2}+6 x+10 y+1=0 \) at the points \( A \) and \( B \). If the lines segment \( A B \) subtends a right angle at origin then the locus of the point \( (a, b) \) is the curve \( g(x, y)=0 \).
The equation of curve \( g(x, y)=0 \) is
(a) \( x^{2}+2 y^{2}-6 x y+10 y+1=0 \)
(b) \( x^{2}+2 y^{2}-6 x y-10 y+1=0 \)
(c) \( x^{2}-2 y^{2}-6 x y+10 y+1=0 \)
(d) \( x^{2}-2 y^{2}-6 x y-10 y+1=0 \)
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