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 $\left|\begin{array}{ll}2 & 3 \\ 4 & 5\end{array}\right|=\left|\begin{array}{ll}x & 3 \\ 2x & 5\end{array}\right|$ હોય,તો $x$ ની કિંમત શોધો.
- A$x=2$
- B$x=3$
- C$x=4$
- D$x=5$
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$\left| {\begin{array}{ccc} 1 + i & 1 - i & i \\ 1 - i & i & 1 + i \\ i & 1 + i & 1 - i \end{array}} \right| = $
Medium
View Solutionધારો કે $A=\begin{bmatrix} 2 & 2+p & 2+p+q \\ 4 & 6+2p & 8+3p+2q \\ 6 & 12+3p & 20+6p+3q \end{bmatrix}$. જો $\operatorname{det}(\operatorname{adj}(\operatorname{adj}(3A)))=2^m \cdot 3^n$,જ્યાં $m, n \in N$,તો $m+n$ ની કિંમત શોધો:
જો $x = cy + bz$,$y = az + cx$,$z = bx + ay$ (જ્યાં $x, y, z$ બધા શૂન્ય નથી) ને $x = 0, y = 0, z = 0$ સિવાયનો ઉકેલ હોય,તો $a, b$ અને $c$ વચ્ચેનો સંબંધ શું છે?
MediumIIT 1978
View Solutionજો $\left| \begin{array}{ccc} 5 & 3 & -1 \\ -7 & x & -3 \\ 9 & 6 & -2 \end{array} \right| = 0$ હોય,તો $x$ ની કિંમત શોધો:
Easy
View Solutionત્રણ બિંદુઓ $(p + 1, 1)$,$(2p + 1, 3)$ અને $(2p + 2, 2p)$ સમરેખ હોય,તો $p =$
Easy
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