The value of x-1 x-2 x-4 x-3 x-5 x-8 x-7 x-10 x-14 is

The correct option is A 2Performing #160;C_3→ C_3 C_2 and #160; C_2→ C_2 C_1 x+1 amp; 1 amp; 2 #160;x+3 amp; 2 amp; 3 ...

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Consistency of Linear System of Equations

The value of ...

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The value of $∣ ∣ ∣ ∣ \begin{matrix} x + 1 & x + 2 & x + 4 x + 3 & x + 5 & x + 8 x + 7 & x + 10 & x + 14 \end{matrix} ∣ ∣ ∣ ∣$ is

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∣ ∣ ∣ ∣ \begin{matrix} x + 1 & x + 2 & x + 4 x + 3 & x + 5 & x + 8 x + 7 & x + 10 & x + 14 \end{matrix} ∣ ∣ ∣ ∣ =

∣ ∣ ∣ ∣ \begin{matrix} x + 1 & x + 2 & x + 4 x + 3 & x + 5 & x + 8 x + 7 & x + 10 & x + 14 \end{matrix} ∣ ∣ ∣ ∣

∣ ∣ ∣ ∣ \begin{matrix} x + 1 & x + 2 & x + 4 x + 3 & x + 5 & x + 8 x + 7 & x + 10 & x + 14 \end{matrix} ∣ ∣ ∣ ∣

\frac{cos 3 x}{sin 2 x sin 4 x} + \frac{cos 5 x}{sin 4 x sin 6 x} + \frac{cos 7 x}{sin 6 x sin 8 x} + \frac{cos 9 x}{sin 8 x sin 10 x} = \frac{1}{2} (c o s e c x) [c o s e c 2 x - c o s e c a x]

⎡ ⎢ ⎣ \begin{matrix} x + y & x & x 5 x + 4 y & 4 x & 2 x 10 x + 8 y & 8 x & 3 x \end{matrix} ⎤ ⎥ ⎦ = x^{3}

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