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If Deltan=|{:(a^(2)+n,ab,ac),(ab,b^(2)+...

If `Delta_n=|{:(a^(2)+n,ab,ac),(ab,b^(2)+n,bc),(ac,bc,c^(2)+n):}|,n in N` and the equation
`x^(3)-lambdax^(2)+11x-6=0` has roots `a,b,c` where `a,b,c` are in AP.
The value of `sum_(r=1)^(30)((27Delta_(r)-Delta_(3r))/(27r^(2))) ` is

A

`(12)^(3)`

B

`(14)^(3)`

C

`(26)^(3)`

D

`(28)^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS ENGLISH-DETERMINANTS -Exercise (Passage Based Questions)
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