Class 12Mathematics3 and 4 .Determinants and MatricesExpansion of determinants, Solution of equation in the form of determinants and area of triangle and Equation of Line
Easyજો $A = \begin{bmatrix} 1 & 0 & 1 \\ 2 & 1 & 0 \\ 3 & 2 & 1 \end{bmatrix}$ હોય, તો $\det(A)$ ની કિંમત શોધો.
- A$2$
- B$5$
- C$3$
- D$4$
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જો $x=k$ એ સમીકરણ $\left|\begin{array}{ccc}x-2 & 3x-3 & 5x-5 \\ x-4 & 3x-9 & 5x-25 \\ x-8 & 3x-27 & 5x-125\end{array}\right|=0$ નું સમાધાન કરતું હોય, તો $x=k$ એ નીચેનામાંથી કયા સમીકરણનું પણ સમાધાન કરે છે?
જો $D = \left| \begin{array}{ccc} \frac{1}{z} & \frac{1}{z} & -\frac{(x+y)}{z^2} \\ -\frac{(y+z)}{x^2} & \frac{1}{x} & \frac{1}{x} \\ -\frac{y(y+z)}{x^2z} & \frac{x+2y+z}{xz} & -\frac{y(x+y)}{xz^2} \end{array} \right|$ હોય,તો ખોટું વિધાન કયું છે?
જો $\omega$ એ એકમનું ઘનમૂળ હોય,તો સમીકરણ $\left| \begin{array}{ccc} x + 2 & \omega & \omega^2 \\ \omega & x + 1 + \omega^2 & 1 \\ \omega^2 & 1 & x + 1 + \omega \end{array} \right| = 0$ નું બીજ શું છે?
નિશ્ચાયકનું મૂલ્ય શોધો: $\left| {\begin{array}{*{20}{c}}{b + c}& a& a\\b& {c + a}& b\\c& c& {a + b}\end{array}} \right|$
Medium
View Solutionજો $\alpha, \beta, \gamma$ એ સમીકરણ $\left|\begin{array}{ccc}x & 2 & 2 \\ 2 & x & 2 \\ 2 & 2 & x\end{array}\right|=0$ ના બીજ હોય અને $\min (\alpha, \beta, \gamma)=\alpha$ હોય, તો $2 \alpha+3 \beta+4 \gamma=$
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