If a 2- b 2- c 2-2 and f x - 1- a 2 x 1- b 2 x 1- c 2 x- 1- a 2 x 1- b 2 x 1- c 2 x- 1- a 2 x 1- b 2 x 1- c 2 x - then f x is a polynomial of degreeA- 3B- 2C-D

The correct option is B 2ApplyingC_1 → C_1+C_2+C_3 f(x) = 1 amp;(1+b^2)x amp;(1+c^2)x 1 amp;1+b^2x amp;(1+c^2)x 1 amp;(1+b^2)x amp;1+c^2x , (∵ a ...

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Properties of Determinants

If a 2+ b 2+ ...

Question

If $a^{2} + b^{2} + c^{2} = - 2$ and $f (x) = ∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 + a^{2} x & (1 + b^{2}) x & (1 + c^{2}) x (1 + a^{2}) x & 1 + b^{2} x & (1 + c^{2}) x (1 + a^{2}) x & (1 + b^{2}) x & 1 + c^{2} x \end{matrix} ∣ ∣ ∣ ∣ ∣$ then f(x) is a polynomial of degree

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Similar questions

If a² +b² + c² =-2 and

then f(x) is a polynomial of degree

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

f (x) = ∣ ∣ ∣ ∣ ∣ \begin{matrix} {1 + a}^{2} x & {(1 + b}^{2}) x & ({1 + c}^{2}) x ({1 + a}^{2}) x & {1 + b}^{2} x & ({1 + c}^{2}) x ({1 + a}^{2}) x & ({1 + b}^{2}) x & {1 + c}^{2} x \end{matrix} ∣ ∣ ∣ ∣ ∣

f (x)

a^{2} + b^{2} + c^{2} + 2 = 0

f (x) = ∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 + a^{2} x & (1 + b^{2}) x & (1 + c^{2}) x (1 + a^{2}) x & 1 + b^{2} x & (1 + c^{2}) x (1 + a^{2}) x & (1 + b^{2}) x & 1 + c^{2} x \end{matrix} ∣ ∣ ∣ ∣ ∣

f (x)

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

A = ⎡ ⎢ ⎢ ⎣ \begin{matrix} 1 + a^{2} x & (1 + b^{2}) x & (1 + c^{2}) x (1 + a^{2}) x & 1 + b^{2} x & (1 + c^{2}) x (1 + a^{2}) x & (1 + b^{2}) x & 1 + c^{2} x \end{matrix} ⎤ ⎥ ⎥ ⎦

A

x =

α

β

a x^{2} + b x + c = 0

(α^{2} + β^{2}), (\frac{1}{α^{2}} + \frac{1}{β^{2}})

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