माना रैखिक समीकरण x +2 y + z =2, alpha x +3 y | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

$\Delta=\left|\begin{array}{ccc} 1 & 2 & 1 \ 2 & 3 & -1 \ -2 & 1 & 2 \end{array}ight|$

$=(6+ y )-2((2 \alpha-\alpha)+1(

Vedclass · Accepted Answer

$-\frac{7}{2}$

Vedclass · Answer

$\Delta=\left|\begin{array}{ccc} 1 & 2 & 1 \ 2 & 3 & -1 \ -2 & 1 & 2 \end{array}ight|$

$=(6+ y )-2((2 \alpha-\alpha)+1(\alpha+3 \alpha)$

$=7-2 \alpha+4 \alpha$

$=7+2 \alpha$

$\Delta=0 \Rightarrow  \alpha=-\frac{7}{2}$

$\Delta_{1}=\left|\begin{array}{ccc}2 & 2 & 1 \ \alpha & 3 & -1 \ -\alpha & 1 &2\end{array}ight|$

$=14+2 \alpha$

$\alpha=-x_{2}=7$

$\Delta_{1} 
eq 0$

माना रैखिक समीकरण $x +2 y + z =2$, $\alpha x +3 y - z =\alpha,-\alpha x + y +2 z =-\alpha$ असंगत है तो $\alpha$ बराबर होगा।

Similar Questions

यदि $\left| {\,\begin{array}{{20}{c}}a&b&c\\m&n&p\\x&y&z\end{array}\,} \right| = k$, तो $\left| {\,\begin{array}{{20}{c}}{6a}&{2b}&{2c}\\{3m}&n&p\\{3x}&y&z\end{array}\,} \right| = $

$\left| {\,\begin{array}{*{20}{c}}{13}&{16}&{19}\\{14}&{17}&{20}\\{15}&{18}&{21}\end{array}\,} \right| = $

सारणिक $\left| {\,\begin{array}{*{20}{c}}{10!}&{11!}&{12!}\\{11!}&{12!}&{13!}\\{12!}&{13!}&{14!}\end{array}\,} \right|$ का मान होगा

यदि $A =\left[\begin{array}{ccc}1 & \sin \theta & 1 \\ -\sin \theta & 1 & \sin \theta \\ -1 & -\sin \theta & 1\end{array}\right],$ जहाँ $0 \leq \theta \leq 2 \pi$ हो तो:

समीकरण $\left| {\,\begin{array}{*{20}{c}}x&0&8\\4&1&3\\2&0&x\end{array}\,} \right| = 0$ के मूल हैं