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If u=ax^2+2hxy+by^2+2gx+2fy+c=0 repre...

If `u=ax^2+2hxy+by^2+2gx+2fy+c=0`
represents a pair of straight lines , prove that the equation of the third pair of straight lines passing through the points where these meet the axes is `ax^2 −2hxy+b y ^2 +2gx+2fy+c+ (4fgxy)/c`=0.

Text Solution

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The correct Answer is:
`therefore cu+4(fg-ch) xy =0`
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