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 $\left|\begin{array}{ll}3 & x \\ x & 1\end{array}\right|=\left|\begin{array}{ll}3 & 2 \\ 4 & 1\end{array}\right|$ હોય,તો $x$ ની કિંમત શોધો:
- A$2$
- B$4$
- C$8$
- D$\pm 2 \sqrt{2}$
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જો $\alpha \neq a, \beta \neq b, \gamma \neq c$ અને $\left|\begin{array}{lll}\alpha & b & c \\ a & \beta & c \\ a & b & \gamma\end{array}\right|=0$ હોય,તો $\frac{a}{\alpha-a}+\frac{b}{\beta-b}+\frac{\gamma}{\gamma-c}$ ની કિંમત શોધો:
DifficultJEE MAIN 2024
View Solutionસમીકરણ $\left| \begin{array}{ccc} \cos \theta & \sin \theta & \cos \theta \\ -\sin \theta & \cos \theta & \sin \theta \\ -\cos \theta & -\sin \theta & \cos \theta \end{array} \right| = 0$ નો ઉકેલ શું છે?
Medium
View Solutionજો $a$ એ અવાસ્તવિક સંકર સંખ્યા હોય જેના માટે સમીકરણ સંહતિ $ax - a^2y + a^3z = 0$,$-a^2x + a^3y + az = 0$ અને $a^3x + ay - a^2z = 0$ ને શૂન્યેતર ઉકેલો હોય,તો $|a|$ ની કિંમત શું થાય?
જો $\left|\begin{array}{lll}a & a^3 & a^4 \\ b & b^3 & b^4 \\ c & c^3 & c^4\end{array}\right|=k(a-b)(b-c)(c-a)$ હોય,તો $k=$
જો $A_{\lambda} = \begin{bmatrix} \lambda & \lambda - 1 \\ \lambda - 1 & \lambda \end{bmatrix}; \lambda \in N$ હોય,તો $|A_1| + |A_2| + \dots + |A_{300}|$ ની કિંમત શોધો.
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