SOLUTION: If {{{ax^2+2hxy+by^2+2gx+2fy+c=0}}} represents a pair of straight lines then show that the distance from the origin to their point of intersection is [c(a+b)-f^2-g^2]/[ab-h^2]

Algebra ->  Length-and-distance -> SOLUTION: If {{{ax^2+2hxy+by^2+2gx+2fy+c=0}}} represents a pair of straight lines then show that the distance from the origin to their point of intersection is [c(a+b)-f^2-g^2]/[ab-h^2]      Log On


   



Question 1016112: If ax%5E2%2B2hxy%2Bby%5E2%2B2gx%2B2fy%2Bc=0 represents a pair of straight lines then show that the distance from the origin to their point of intersection is [c(a+b)-f^2-g^2]/[ab-h^2]
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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Very interesting, but much higher than the school math.

Not for this site.