`Delta_1 = |[a_1+pb_1 , b_1+qc_1 , c_1+ra_1] ,[a_2+pb_2 , b_1+qc_2 , c_2+ra_2] , [a_3+pb_3 , b_3+qc_3 , c_3+ra_3]|`

If Delta=|(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3)| and Delta_1=|(a_1+pb_1,b_1+qc_1,c_1+ra_1),(a_2+pb_2,b_2+qc_2,c _2+ra_2),(a_3+pb_3,b_3+qc_3,c_3+ra_3)| then Delta_1=

Let D= |(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3)|, D_1=|(a_1+pb_1, b_1+qc_1, c1+ra_1),(a_2+pb_2, b_2+qc_2, c_2+ra_2),(a_3+pb_3, b_3+qc_3, c_3+ra_3)| , then the value of (2010D-D_1)/D_1 is

Let D= |(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3)|, D_1=|(a_1+pb_1, b_1+qc_1, c1+ra_1),(a_2+pb_2, b_2+qc_2, c_2+ra_2),(a_3+pb_3, b_3+qc_3, c_3+ra_3)| , then the value of (2010D-D_1)/D_1 is

If Delta=|(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3)| and Delta_1=|(a_1+pb_1,b_1+qc_1,c_1+ra_1),(a_2+pb_2,b_2+qc^2,c^2+ra^2),(a_3+pb_3,b_3+qc_3,c_3+ra_3)| then Delta_1=

If Delta=|(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3)| and Delta_1=|(a_1+pb_1,b_1+qc_1,c_1+ra_1),(a_2+pb_2,b_2+qc^2,c^2+ra^2),(a_3+pb_3,b_3+qc_3,c_3+ra_3)| then Delta_1=

If Delta=|(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3)| and Delta_1=|(a_1+pb_1,b_1+qc_1,c_1+ra_1),(a_2+pb_2,b_2+qc^2,c^2+ra^2),(a_3+pb_3,b_3+qc_3,c_3+ra_3)| then Delta_1=

If D=|(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3)|andD'=|(a_1+pb_1,b_1+qc_1,c_1+ra_1),(a_2+pb_2,b_1+qc_2,c_2+ra_2),(a_3+pb_3,b_3+qc_3,c_3+ra_3)| , then :

Suppose Delta = |(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3))|andDelta'=|(a_(1)+pb_(1),b_(1)+qc_(1),c_(1)+ra_(1)),(a_(2)+pb_(2),b_(2)+qc_(2),c_(2)+ra_(2)),(a_(3)+pb_(3),b_(3)+qc_(3),c_(3)+ra_(3))| then (i) Δ'=Δ (ii) Δ'=Δ(1−pqr) (iii) Δ'=Δ(1+P+q+r) (iv) Δ'=Δ(1+pqr)

If w is a complex cube root of unity, then value of =|[a_1+b_1w, a_1w^2+b_1,c_1+b_1 w],[ a_2+b_2w, a_2w^2+b_2,c_2+b_2 w],[ a_3+b_3w ,a_3w^2+b_3,c_3+b_3 w] | is a. 0 b. -1 c. 2 d. none of these