ntIf (x+a)/(b+c) + (x+b)/(c+a) + (x+c)/(a+b) + 3 = 0, a>0, b>0, c>0, then the value of x isn

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\frac{x + a}{b + c} + \frac{x + b}{c + a} + \frac{x + c}{a + b} + 3 = 0, a > 0, b > 0, c > 0

|\begin{matrix} 0 & x^{2} - a & x^{3} - b \\ x^{2} + a & 0 & x^{2} + c \\ x^{4} + b & x - c & 0 \end{matrix}| = 0 is

f (x) = a |\sin x| + b e^{|x|} + c {|x|}^{3}

a = b = c = 0

a = 0, b = 0; c \in R

b = c = 0, a \in R

c = 0, a = 0, b \in R

a \neq b \neq c

∣ ∣ ∣ ∣ \begin{matrix} 0 & x^{2} - a & x^{3} - b x + a & 0 & x - c x + b & x + c & 0 \end{matrix} ∣ ∣ ∣ ∣ = 0

If the lines $x + a y + a = 0, b x + y + b = 0$ and $c x + c y + 1 = 0$ are concurrent,then write the value of $2 a b c - a b - b c - c a .$

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