Given three points on the xy plane on O(0, 0), A(1, 0) and B(–1, 0). Point P is moving on the plane satisfying the condition(vec(PA).vec(PB)) + (vec(OA).vec(OB)) =0 . If the maximum and minimum valuesof |vec(PA)| |vec(PB)| are M and m respectively then findthe value ofare M and m respectively thenthe valueof M^(2)+ m^(2).

Given three points on the xy plane on O(0, 0), A(1, 0) and B(–1, 0).

1.	Given three points on the xy plane on O(0, 0), A(1, 0) and B(–1, 0). Point P is moving on the plane satisfying the condition(vec(PA).vec(PB)) + (vec(OA).vec(OB)) =0 . If the maximum and minimum valuesof \|vec(PA)\| \|vec(PB)\| are M and m respectively then findthe value ofare M and m respectively thenthe valueof M^(2)+ m^(2).
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