નિશ્ચાયક $\left| \begin{array}{ccc} 4 & -6 & 1 \\ -1 & -1 & 1 \\ -4 & 11 & -1 \end{array} \right|$ નું મૂલ્ય શોધો.

  • A
    $-75$
  • B
    $25$
  • C
    $0$
  • D
    $-25$

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જો $a^2 + b^2 + c^2 = -2$ અને $f(x) = \left| \begin{array}{ccc} 1 + a^2x & (1 + b^2)x & (1 + c^2)x \\ (1 + a^2)x & 1 + b^2x & (1 + c^2)x \\ (1 + a^2)x & (1 + b^2)x & 1 + c^2x \end{array} \right|$ હોય,તો $f(x)$ એ કેટલા ઘાતવાળી બહુપદી છે?

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નિશ્ચાયકનું મૂલ્ય શોધો: $\left| \begin{array}{ccc} 1 & a & b \\ -a & 1 & c \\ -b & -c & 1 \end{array} \right|$

$\left|\begin{array}{cc}x & x+1 \\ x-1 & x\end{array}\right|$ ની કિંમત શોધો.

ધન સંખ્યાઓ $x, y$ અને $z$ માટે,નિશ્ચાયક $\left| \begin{array}{ccc} 1 & \log_x y & \log_x z \\ \log_y x & 1 & \log_y z \\ \log_z x & \log_z y & 1 \end{array} \right|$ નું સંખ્યાત્મક મૂલ્ય શું છે?

જો $1, \omega, \omega^2$ એ એકમના ઘનમૂળ હોય,તો $\Delta = \begin{vmatrix} 1 & \omega^n & \omega^{2n} \\ \omega^n & \omega^{2n} & 1 \\ \omega^{2n} & 1 & \omega^n \end{vmatrix} = $

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