Q. 174.6( 26 Votes )

If a, b, c, are i

Answer :

Let Δ =

Since, a, b, c are in A.P.


2b = a + c


Δ =


Applying Elementary Row Transformations


R1 R1 – R2 and R3 R3 – R2


Δ =


R1 R1 + R3, we have


Δ =


[In a determinant if all elements of a row is 0 then the value of determinant is 0.]


So, here all the elements of first row (R1) are zero.


Δ = 0

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