Class 12Mathematics3-4. Matrices and DeterminantsExpansion of determinants, Solution of equation in the form of determinants and area of triangle and Equation of Line
Easyयदि $\left|\begin{array}{ccc}x & 4 & 6 \\ 2 & 3 & -9 \\ 5 & 6 & 1\end{array}\right|+\left|\begin{array}{ccc}5 & 6 & 1 \\ 6 & 4 & 5 \\ 2 & 3 & -9\end{array}\right|=\left|\begin{array}{ccc}2 & 3 & -9 \\ 1-2 x & -8 & -11 \\ 5 & 6 & 1\end{array}\right|$ है,तो $x=$ . . . . . .
- A$-\frac{5}{3}$
- B$-7$
- C$7$
- D$\frac{5}{3}$
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Similar Questions
$3$ क्रम के एक वर्ग आव्यूह $A$ में,$a_{ii}$ समीकरण $x^2 - (a + b)x + ab = 0$ के मूलों का योग है; $a_{i, i+1}$ मूलों का गुणनफल है,$a_{i, i-1}$ सभी इकाई $(1)$ हैं और शेष तत्व शून्य हैं। $\det(A)$ का मान किसके बराबर है?
यदि $a \ne 6, b, c$ समीकरण $\left| \begin{array}{ccc} a & 2b & 2c \\ 3 & b & c \\ 4 & a & b \end{array} \right| = 0$ को संतुष्ट करते हैं,तो $abc = $
Easy
View Solution$\left|\begin{array}{ccc}\frac{-bc}{a^2} & \frac{c}{a} & \frac{b}{a} \\ \frac{c}{b} & \frac{-ac}{b^2} & \frac{a}{b} \\ \frac{b}{c} & \frac{a}{c} & \frac{-ab}{c^2}\end{array}\right| = $
यदि $\left|\begin{array}{ll}3 & x \\ x & 1\end{array}\right|=\left|\begin{array}{ll}3 & 2 \\ 4 & 1\end{array}\right|$ है,तो $x$ का मान . . . . . . है।
$\left| {\begin{array}{*{20}{c}}{{{\log }_3}512}&{{{\log }_4}3}\\{{{\log }_3}8}&{{{\log }_4}9}\end{array}} \right| \times \left| {\begin{array}{*{20}{c}}{{{\log }_2}3}&{{{\log }_8}3}\\{{{\log }_3}4}&{{{\log }_3}4}\end{array}} \right| = $
Medium
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