1.

If one of the line represented by the equation \[a{{x}^{2}}+2hxy+b{{y}^{2}}=0\] is coincident with one of the line represented by \[{a}'{{x}^{2}}+2{h}'xy+{b}'{{y}^{2}}=0\], then

A. \[{{(a{b}'-{a}'b)}^{2}}=4(a{h}'-{a}'h)\,(h{b}'-{h}'b)\]
B. \[{{(a{b}'+{a}'b)}^{2}}=4(a{h}'-{a}'h)\,(h{b}'-{h}'b)\]
C. \[{{(a{b}'-{a}'b)}^{2}}=(a{h}'-{a}'h)\,(h{b}'-{h}'b)\]
D. None of these
Answer» B. \[{{(a{b}'+{a}'b)}^{2}}=4(a{h}'-{a}'h)\,(h{b}'-{h}'b)\]


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