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 $\left|\begin{array}{lll}1 & 2 & 3 \\ 2 & 3 & 4 \\ 3 & 4 & 5\end{array}\right|=2016 k$ હોય,તો $k=$ . . . . . .
- A$0$
- B$1$
- C$2016$
- D$1/2016$
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જો $1$,$\log_{10}(4^{x}-2)$ અને $\log_{10}(4^{x}+\frac{18}{5})$ એ વાસ્તવિક સંખ્યા $x$ માટે સમાંતર શ્રેણીમાં હોય,તો નિશ્ચાયક $\left|\begin{array}{ccc} 2(x-\frac{1}{2}) & x-1 & x^{2} \\ 1 & 0 & x \\ x & 1 & 0 \end{array}\right|$ ની કિંમત ...... થાય.
DifficultJEE MAIN 2021
View Solutionજો $A = \begin{bmatrix} 1 & \sin \theta & 1 \\ -\sin \theta & 1 & \sin \theta \\ -1 & -\sin \theta & 1 \end{bmatrix}$ હોય,તો તમામ $\theta \in \left( \frac{3\pi}{4}, \frac{5\pi}{4} \right)$ માટે,$\det(A)$ કયા અંતરાલમાં આવે છે?
DifficultJEE MAIN 2019
View Solutionનિશ્ચાયકનું મૂલ્ય શોધો: $\left|\begin{array}{ll}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{array}\right|$
Easy
View Solutionજો $f(x) = \left|\begin{array}{ccc} 1 & x & x+1 \\ 2x & x(x-1) & x(x+1) \\ 3x(x-1) & x(x-1)(x-2) & (x-1)x(x+1) \end{array}\right|$,હોય તો $f(2012)$ ની કિંમત શોધો.
જો $x = cy + bz$,$y = az + cx$,$z = bx + ay$ (જ્યાં $x, y, z$ બધા શૂન્ય નથી) ને $x = 0, y = 0, z = 0$ સિવાયનો ઉકેલ હોય,તો $a, b$ અને $c$ વચ્ચેનો સંબંધ શું છે?
MediumIIT 1978
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