If a- b- c- R- d-a-b-c- and - -a d d d b d d d cthen - equals

The correct option is C abc ad^2+2d^3 bd^2 cd^2 Δ = a amp; d amp; d d amp; b amp; d d amp; d amp; c Applying R _ 2 ...

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Inverse of a Matrix

If a, b, cϵ...

Question

If $a, b, c ϵ R$ , d=a+b+c, and
$Δ = ∣ ∣ ∣ ∣ \begin{matrix} a & d & d d & b & d d & d & c \end{matrix} ∣ ∣ ∣ ∣$
then $Δ$ equals

a^{2} b^{2} c^{2}

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a^{2} + b^{2} + c^{2}

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d^{2}

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a b c - a d^{2} + 2 d^{3} - b d^{2} - c d^{2}

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If a, b, c, d are in GP, prove that

$(a^{2} + b^{2} + c^{2}) (b^{2} + c^{2} + d^{2}) = (a b + b c + c d)^{2}$

a, b, c, d

(a^{2} + b^{2} + c^{2}) (b^{2} + c^{2} + d^{2}) \leq (a b + b c + c d)^{2}

a, b, c, d

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