જો $\left|\begin{array}{ccc}x & 4 & 6 \\ 2 & 3 & -9 \\ 5 & 6 & 1\end{array}\right|+\left|\begin{array}{ccc}5 & 6 & 1 \\ 6 & 4 & 5 \\ 2 & 3 & -9\end{array}\right|=\left|\begin{array}{ccc}2 & 3 & -9 \\ 1-2 x & -8 & -11 \\ 5 & 6 & 1\end{array}\right|$ હોય,તો $x=$ . . . . . .

  • A
    $-\frac{5}{3}$
  • B
    $-7$
  • C
    $7$
  • D
    $\frac{5}{3}$

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Similar Questions

આપેલ સમીકરણ સંહતિ $a(x + y + z) = x$,$b(x + y + z) = y$,$c(x + y + z) = z$ માટે જ્યાં $a, b, c$ એ શૂન્યતર વાસ્તવિક સંખ્યાઓ છે. જો વાસ્તવિક સંખ્યાઓ $x, y, z$ એવી હોય કે $xyz \neq 0$,તો $(a + b + c)$ ની કિંમત કેટલી થાય?

$\left| {\begin{array}{*{20}{c}}{1 + x}&1&1\\1&{1 + y}&1\\1&1&{1 + z}\end{array}} \right| = $

Difficult
View Solution

જો $\left| {\begin{array}{*{20}{c}}{{x^2} + x}&{x + 1}&{x - 2}\\ {2{x^2} + 3x - 1}&{3x}&{3x - 3}\\ {{x^2} + 2x + 3}&{2x - 1}&{2x - 1}\end{array}} \right| = Ax - 12$ હોય,તો $A$ ની કિંમત શોધો.

ધારો કે $A = \begin{bmatrix} 1 & \sin \theta & 1 \\ -\sin \theta & 1 & \sin \theta \\ -1 & -\sin \theta & 1 \end{bmatrix}$,જ્યાં $0 \leq \theta \leq 2 \pi$. તો

Difficult
View Solution

$\left| {\begin{array}{ccc} 1 + i & 1 - i & i \\ 1 - i & i & 1 + i \\ i & 1 + i & 1 - i \end{array}} \right| = $

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