Prove that the equation ax² + 2hxy+by² + 2gx+2 fy+c=0 wi h²2 = ab and bg2 = af?. Also find the distance between them.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Prove that the equation ax² +2hxy+by² +2gx+2 fy+c=0 will represent two parallel straight lines if
h² = ab and bg2 = af2. Also find the distance between them.
Sol:-
Transcribed Image Text:Prove that the equation ax² +2hxy+by² +2gx+2 fy+c=0 will represent two parallel straight lines if h² = ab and bg2 = af2. Also find the distance between them. Sol:-
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