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
Easy$\left| \begin{array}{ccc} 5^2 & 5^3 & 5^4 \\ 5^3 & 5^4 & 5^5 \\ 5^4 & 5^5 & 5^7 \end{array} \right|$ નું મૂલ્ય શોધો.
- A$5^2$
- B$0$
- C$5^{13}$
- D$5^9$
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જો $a, b, c$ એ $A.P.$ માં હોય,તો $\left| \begin{array}{ccc} x+2 & x+3 & x+a \\ x+4 & x+5 & x+b \\ x+6 & x+7 & x+c \end{array} \right|$ નું મૂલ્ય શું થાય?
Medium
View Solutionજો $\left|\begin{array}{ccc}\cos (A+B) & -\sin (A+B) & \cos 2 B \\ \sin A & \cos A & \sin B \\ -\cos A & \sin A & \cos B\end{array}\right|=0$ હોય, તો $B$ ની કિંમત શોધો.
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?
$\alpha$ ની કિંમતો,જેના માટે $\left|\begin{array}{ccc}1 & \frac{3}{2} & \alpha+\frac{3}{2} \\ 1 & \frac{1}{3} & \alpha+\frac{1}{3} \\ 2 \alpha+3 & 3 \alpha+1 & 0\end{array}\right|=0$ થાય,તે કયા અંતરાલમાં આવે છે?
DifficultJEE MAIN 2024
View Solutionઘન સમીકરણ $\left| \begin{array}{ccc} 0 & a-x & b-x \\ -a-x & 0 & c-x \\ -b-x & -c-x & 0 \end{array} \right| = 0$ માં $x$ નું પુનરાવર્તિત બીજ હોય,તો:
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