If a b c a 3 b 3 c 3 a 4 b 4 c 4 = k ( a − b ) ( b − c ) ( c − a ) then k =

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If $\left|\begin{array}{lll}a & a^3 & a^4 \\ b & b^3 & b^4 \\ c & c^3 & c^4\end{array}\right|=k(a-b)(b-c)(c-a)$ then $\mathrm{k}=$

MathematicsDeterminantsAP EAMCETAP EAMCET 2017 (25 Apr Shift 1)

Options:

A $a b c(a b+b c+c a)$
B $4(a b+b c+c a)(a b c)$
C $a b c$
D $a b+b c+c a$

Solution:

1926 Upvotes Verified Answer

The correct answer is: $a b c(a b+b c+c a)$

No solution. Refer to answer key.

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