1.

If the pair of lines \[a{{x}^{2}}+2(a+b)xy+b{{y}^{2}}=0\] lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sector then                                              [AIEEE 2005]

A.            \[3{{a}^{2}}+10ab+3{{b}^{2}}=0\]                                  
B.            \[3{{a}^{2}}+2ab+3{{b}^{2}}=0\]
C.            \[3{{a}^{2}}-10ab+3{{b}^{2}}=0\]                                    
D.            \[3{{a}^{2}}-2ab+3{{b}^{2}}=0\]
Answer» C.            \[3{{a}^{2}}-10ab+3{{b}^{2}}=0\]                                    


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