Suppose a- b- c- R- a-b-c- 0- A-bc-a2- B-ca-b2- C-ab-c2and A B C B C A C A B-49then a b c b c a c a b equals -

The correct option is A 7 For a amp; b amp; c b amp; c amp; a c amp; a amp; b c_ 11 amp; c_ 12 amp; c_ 13 ...

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Byju's Answer

Standard XII

Mathematics

Cofactor

Suppose a, ...

Question

Suppose $a, b, c ϵ R$ , a+b+c> 0, $A = b c - a^{2}$ , $B = c a - b^{2}$ , $C = a b - c^{2}$
and $∣ ∣ ∣ ∣ \begin{matrix} A & B & C B & C & A C & A & B \end{matrix} ∣ ∣ ∣ ∣ = 49$
then $∣ ∣ ∣ ∣ \begin{matrix} a & b & c b & c & a c & a & b \end{matrix} ∣ ∣ ∣ ∣$ equals :

- 7

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2401

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Solution

The correct option is A $- 7$
For $∣ ∣ ∣ ∣ \begin{matrix} a & b & c b & c & a c & a & b \end{matrix} ∣ ∣ ∣ ∣$
$∣ ∣ ∣ ∣ \begin{matrix} c_{11} & c_{12} & c_{13} c_{21} & c_{22} & c_{23} c_{31} & c_{32} & c_{33} \end{matrix} ∣ ∣ ∣ ∣ = ∣ ∣ ∣ ∣ \begin{matrix} A & B & C B & C & A C & A & B \end{matrix} ∣ ∣ ∣ ∣$
Then $∣ ∣ ∣ ∣ \begin{matrix} a & b & c b & c & a c & a & b \end{matrix} ∣ ∣ ∣ ∣ = - 7$

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Suppose a,b,cϵR, a+b+c> 0, A=bc−a2, B=ca−b2, C=ab−c2and ∣∣ ∣∣ABCBCACAB∣∣ ∣∣=49then ∣∣ ∣∣abcbcacab∣∣ ∣∣ equals :

The correct option is A −7For ∣∣ ∣∣abcbcacab∣∣ ∣∣∣∣ ∣∣c11c12c13c21c22c23c31c32c33∣∣ ∣∣=∣∣ ∣∣ABCBCACAB∣∣ ∣∣Then ∣∣ ∣∣abcbcacab∣∣ ∣∣=−7

Suppose $a, b, c ϵ R$ , a+b+c> 0, $A = b c - a^{2}$ , $B = c a - b^{2}$ , $C = a b - c^{2}$
and $∣ ∣ ∣ ∣ \begin{matrix} A & B & C B & C & A C & A & B \end{matrix} ∣ ∣ ∣ ∣ = 49$
then $∣ ∣ ∣ ∣ \begin{matrix} a & b & c b & c & a c & a & b \end{matrix} ∣ ∣ ∣ ∣$ equals :