A) \[6{{x}^{2}}+5xy+{{y}^{2}}=0\]
B) \[6{{y}^{2}}+5xy+{{x}^{2}}=0\]
C) \[6{{x}^{2}}-5xy+{{y}^{2}}=0\]
D) None of these
Correct Answer: A
Solution :
We know that the equation of perpendicular drawn from origin on \[a{{x}^{2}}+2hxy+b{{y}^{2}}+2gx+2fy+c=0\] is \[b{{x}^{2}}-2hxy+a{{y}^{2}}=0\]. Therefore, the required equation is given by \[12{{x}^{2}}+10xy+2{{y}^{2}}=0\]or\[6{{x}^{2}}+5xy+{{y}^{2}}=0\].
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