If `(a_1+ib_1)(a_2+ib_2).....(a_n+ib_n)=A+iB`, then `(a_1^2+b_1^2)(a_2^2+b_2^2)......(a_n^2+b_n^2)` is equal to (A) 1 (B) `(A^2+B^2)` (C) `(A+B)` (D) `(1/A^2+1/B^2)`

If (a_1+ib_1)(a_2+ib_2)...(a_n+ib_n) = x+iy , prove that : (a_1^2+b_1^2)(a_2^2+b_2^2)...(a_n^2+b_n^2)=x^2+y^2 .

If quad (a_(1)+ib_(1))(a_(2)+ib_(2))....(a_(n)+ib_(n))=A+iB, then (a_(1)^(2)+b_(1)^(2))(a_(2)^(2)+b_(2)^(2))......(a_(n)^(2)+b_(n)^(2)) is equal to (A)1(B)(A^(2)+B^(2))(C)(A+B)(D)((1)/(A^(2))+(1)/(B^(2)))

If (a_(1)+ib_(1))(a_(2)+ib_(2))......(a_(n)+ib_(n))=A+iB , then : (a_(1)^(2)+b_(1)^(2))(a_(2)^(2)+b_(2)^(2))......(a_(n)^(2)+b_(n)^(2)) equals :

If (a_1+ib_1)(a_2+ib_2)......(a_n+ib_n)=A+iB, "then "Tan^(-1)(b_1/a_1)+Tan^(-1)(b_2/a_2)+.....+Tan^-1(b_n/a_n)=

If (a_(1)+ib_(1))(a_(2)+ib_(2))………………(a_(n)+ib_(n))=A+iB , then sum_(i=1)^(n) tan^(-1)(b_(i)/a_(i)) is equal to

If (a_(1)+ib_(1))(a_(2)+ib_(2))………………(a_(n)+ib_(n))=A+iB , then sum_(i=1)^(n) tan^(-1)(b_(i)/a_(i)) is equal to

If a_1, a_2, a_3,.....a_n are in H.P. and a_1 a_2+a_2 a_3+a_3 a_4+.......a_(n-1) a_n=ka_1 a_n , then k is equal to

If a_1, a_2, a_3,.....a_n are in H.P. and a_1 a_2+a_2 a_3+a_3 a_4+.......a_(n-1) a_n=ka_1 a_n , then k is equal to

If a_1, a_2, a_3,.....a_n are in H.P. and a_1 a_2+a_2 a_3+a_3 a_4+.......a_(n-1) a_n=ka_1 a_n , then k is equal to