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
Easyयदि $\left|\begin{array}{ll}3 & x \\ x & 1\end{array}\right|=\left|\begin{array}{ll}3 & 2 \\ 4 & 1\end{array}\right|$ है,तो $x$ का मान ज्ञात कीजिए:
- A$2$
- B$4$
- C$8$
- D$\pm 2 \sqrt{2}$
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समीकरण $\left| \begin{array}{ccc} x + \alpha & \beta & \gamma \\ \gamma & x + \beta & \alpha \\ \alpha & \beta & x + \gamma \end{array} \right| = 0$ से प्राप्त $x$ का मान क्या होगा?
Medium
View Solutionयदि $A_{\lambda} = \begin{bmatrix} \lambda & \lambda - 1 \\ \lambda - 1 & \lambda \end{bmatrix}; \lambda \in N$ है,तो $|A_1| + |A_2| + \dots + |A_{300}|$ का मान ज्ञात कीजिए।
यदि $a^2 + b^2 + c^2 = -2$ और $f(x) = \left| \begin{array}{ccc} 1 + a^2x & (1 + b^2)x & (1 + c^2)x \\ (1 + a^2)x & 1 + b^2x & (1 + c^2)x \\ (1 + a^2)x & (1 + b^2)x & 1 + c^2x \end{array} \right|$ है,तो $f(x)$ किस घात का बहुपद है?
Difficult
View Solutionयदि $\left| \begin{array}{ccc} \cos 2x & \sin^2 x & \cos 4x \\ \sin^2 x & \cos 2x & \cos^2 x \\ \cos 4x & \cos^2 x & \cos 2x \end{array} \right| = a_0 + a_1 \sin x + a_2 \sin^2 x + \dots$ है,तो $a_0$ का मान ज्ञात कीजिए।
यदि $a_{1}, a_{2}, a_{3}, \ldots, a_{9}$ एक $AP$ में हैं,तो $\left|\begin{array}{lll}a_{1} & a_{2} & a_{3} \\ a_{4} & a_{5} & a_{6} \\ a_{7} & a_{8} & a_{9}\end{array}\right|$ का मान क्या है?
MediumKCET 2020
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