જો a,b,c એ સમાંતર શ્રેણીના {p^{th}},{q^{th}}{ | vedclass

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

Question

(c) Let first term =$ A $ and common difference =$ D$

$	herefore a = A + (p - 1)D$, $b = A + (q - 1)D$, $c = A + (r - 1)D$

$\left| {\begin{arra

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(c) Let first term =$ A $ and common difference =$ D$

$	herefore a = A + (p - 1)D$, $b = A + (q - 1)D$, $c = A + (r - 1)D$

$\left| {\begin{array}{*{20}{c}}{\,a\,\,\,}&{p\,\,\,}&{1\,}\{\,b\,\,\,}&{q\,\,\,}&1\{\,c\,\,\,}&{r\,\,\,}&1\end{array}} ight| = \left| {\begin{array}{*{20}{c}}{\,A + (p - 1)D\,\,\,}&{p\,\,\,}&{1\,}\{A + (q - 1)D\,\,\,}&{q\,\,\,}&1\{A + (r - 1)D\,\,\,}&{r\,\,\,}&1\end{array}} ight|$

Operate ${C_1} 	o {C_1} - D{C_2} + D{C_3}$

$ = \,\left| {\begin{array}{*{20}{c}}{\,A\,\,}&{p\,\,}&{1\,}\{\,A\,\,}&{q\,\,}&1\{\,A\,\,}&{r\,\,}&1\end{array}} ight| = A\left| {\begin{array}{*{20}{c}}{\,\,1}&{\,\,p}&{\,\,1\,}\{\,1}&q&1\{\,1}&r&1\end{array}} ight| = 0$.

જો $a,b,c$ એ સમાંતર શ્રેણીના ${p^{th}},{q^{th}}{r^{th}}$ માં પદ હોય તો ,$\left| {\,\begin{array}{*{20}{c}}a&p&1\\b&q&1\\c&r&1\end{array}\,} \right| = $

Similar Questions

જો સમીકરણની સંહતિ $x + ay = 0,$ $az + y = 0$ અને $ax + z = 0$ ને અનંત ઉકેલ હોય, તો $a$ ની કિમત મેળવો

જો $\left| {\begin{array}{*{20}{c}}
{^9{C_4}}&{^9{C_5}}&{^{10}{C_r}} \\
{^{10}{C_6}}&{^{10}{C_7}}&{^{11}{C_{r + 2}}} \\
{^{11}{C_8}}&{^{11}{C_9}}&{^{12}{C_{r + 4}}}
\end{array}} \right| = 0$ હોય તો $r$ મેળવો.

$f(x)=\left|\begin{array}{ccc} \sin ^{2} x & 1+\cos ^{2} x & \cos 2 x \\ 1+\sin ^{2} x & \cos ^{2} x & \cos 2 x \\ \sin ^{2} x & \cos ^{2} x & \sin 2 x \end{array}\right|, x \in R$ નું મહત્તમ મૂલ્ય ..... છે.

$x$ નું મૂલ્ય શોધો : $\left|\begin{array}{ll}2 & 3 \\ 4 & 5\end{array}\right|=\left|\begin{array}{ll}x & 3 \\ 2 x & 5\end{array}\right|$

$\left| {\,\begin{array}{*{20}{c}}{a - b}&{b - c}&{c - a}\\{x - y}&{y - z}&{z - x}\\{p - q}&{q - r}&{r - p}\end{array}\,} \right| = $