A) \[2{{x}^{2}}+5xy+2{{y}^{2}}=0\]
B) \[2{{x}^{2}}-3xy+2{{y}^{2}}=0\]
C) \[2{{x}^{2}}+3xy+{{y}^{2}}=0\]
D) \[2{{x}^{2}}-5xy+2{{y}^{2}}=0\]
Correct Answer: B
Solution :
We know that equation of pair of straight line passing through the origin and perpendicular to \[a{{x}^{2}}+2hxy+b{{y}^{2}}=0\] is \[b{{x}^{2}}-2hxy+a{{y}^{2}}=0\] \[\therefore \] Required equation of pair of straight line is \[2{{x}^{2}}-3xy+2{{y}^{2}}=0\]
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