$\left|\begin{array}{lll}10 & 11 & 12 \\ 11 & 12 & 13 \\ 12 & 13 & 14\end{array}\right|=$ . . . . . . .

  • A
    $-2(10!\cdot 11!\cdot 12!)$
  • B
    $0$
  • C
    $2(10!\cdot 13!)$
  • D
    $2(10!\cdot 12!\cdot 13!)$

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Similar Questions

ધારો કે $A = \begin{bmatrix} x+2 & 3x \\ 3 & x+2 \end{bmatrix}$ અને $B = \begin{bmatrix} x & 0 \\ 5 & x+2 \end{bmatrix}$ છે. તો સમીકરણ $\det(AB) = 0$ ના તમામ ઉકેલો શોધો.

$\left| {\begin{array}{*{20}{c}}1&1&1\\1&{1 + x}&1\\1&1&{1 + y}\end{array}} \right| = $

નીચેનામાંથી કયું સાચું છે?

જો $60 \hat{i}+3 \hat{j}$,$40 \hat{i}-8 \hat{j}$ અને $a \hat{i}-52 \hat{j}$ સ્થાન સદિશો ધરાવતા બિંદુઓ સમરેખ હોય,તો $a$ ની કિંમત શોધો.

જો $f(x)=\left|\begin{array}{ccc}x-3 & 2x^2-18 & 2x^3-81 \\ x-5 & 2x^2-50 & 4x^3-500 \\ 1 & 2 & 3\end{array}\right|$ હોય,તો $f(1) \cdot f(3)+f(3) \cdot f(5)+f(5) \cdot f(1)$ ની કિંમત શોધો.

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