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$x$ ની કિંમતો શોધો જેના માટે $\left|\begin{array}{ll}3 & x \\ x & 1\end{array}\right|=\left|\begin{array}{ll}3 & 2 \\ 4 & 1\end{array}\right|$ થાય.
- A$x=\pm 2 \sqrt{2}$
- B$x=\pm 3 \sqrt{2}$
- C$x=\pm \sqrt{2}$
- D$x=\pm 4 \sqrt{2}$
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જો $(x, 0), (1, 1)$ અને $(0, 2)$ શિરોબિંદુઓ ધરાવતા ત્રિકોણનું ક્ષેત્રફળ $4$ ચોરસ એકમ હોય,તો $x$ ની કિંમત શોધો.
Easy
View Solutionનિશ્ચાયકનું મૂલ્ય શોધો: $\left|\begin{array}{ll}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{array}\right|$
Easy
View Solution$l, m, n$ એ એક $G$.$P$. ના $p^{th}, q^{th}$ અને $r^{th}$ પદો છે,જે બધા ધન છે,તો $\left| \begin{array}{ccc} \log l & p & 1 \\ \log m & q & 1 \\ \log n & r & 1 \end{array} \right|$ ની કિંમત શોધો.
MediumAIEEE 2002
View Solutionજો $f(x) = \left| \begin{array}{ccc} x & x+1 & x+3 \\ x+2 & x+4 & x+7 \\ x+6 & x+9 & x+13 \end{array} \right|$ હોય,તો $f(5) =$
સમીકરણ $\left|\begin{array}{ccc}x & -3 & 2 \\ -1 & -2 & x-1 \\ 1 & x-2 & 3\end{array}\right|=0$ ના તમામ બીજોનો સરવાળો કેટલો થાય?
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