Let 1/((x^(2)-3)^(2))=A_(1)/(x-sqrt(3))+A_(2)/((x-sqrt(3))^(2))+A_(3)/(x+sqrt(3))+A_(4)/((x+sqrt(3))^(2)). Then, consider the following statements (i) All the A_(i)'s are not distinct (ii) There exists a pair, A_(p) and A_(q) such that A_(p)^(2)=A_(q)^(2)(p ne q) (iii) sum_(i=1)^(4) A_(i)=1/6 (iv) sum_(i=1)^(4)A_(i)=1 Which one of the following is true ?

Let 1/((x^(2)-3)^(2))=A_(1)/(x-sqrt(3))+A_(2)/((x-sqrt(3))^(2))+A_(3)/

1.	Let 1/((x^(2)-3)^(2))=A_(1)/(x-sqrt(3))+A_(2)/((x-sqrt(3))^(2))+A_(3)/(x+sqrt(3))+A_(4)/((x+sqrt(3))^(2)). Then, consider the following statements (i) All the A_(i)'s are not distinct (ii) There exists a pair, A_(p) and A_(q) such that A_(p)^(2)=A_(q)^(2)(p ne q) (iii) sum_(i=1)^(4) A_(i)=1/6 (iv) sum_(i=1)^(4)A_(i)=1 Which one of the following is true ?
Answer» Only statement (III) is FALSE Both the statement (ii) and (iv) are false Only statement (iv) is false Both the statement (i) and (iii) are false Answer :C

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