1.

If (l,m) is the circumcentre of an equailateral triangle inscribedin theellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 havingverticlesat pointswith ecentric angles theta_(1),theta_(2) and theta_(3) then 2/3[cos(theta_(1)-theta_(2))+cos(theta_(2)-theta_(3)+cos(theta_(3)-theta_(1))] =

Answer»

`(9L^(2))/(2a^(2)) + (9M^(2))/(b^(2))-1`
`(L^(2))/(a^(2)) + (m^(2))/(b^(2)) -3`
`(3l^(2))/(a^(2))+ (3m^(2))/(b^(2)) -1`
`(3l^(2))/(a^(2)) + (3m^(2))/(b^(2)) - (3)/(2)`

Answer :C


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