If \( a, b, c \) are three distinct real numbers for which there exist \( x, y, z \) such that
\... VIDEO
If \( a, b, c \) are three distinct real numbers for which there exist \( x, y, z \) such thathttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2023-06-08 Current \( I \) is uniformly distributed across cross-section of thick hollow wire of internal r... 2023-06-08 For any \( 3 \times 3 \) matrix \( M \), let \( |M| \) denote the determinant of \( M \). Let \(... 2023-06-08 If the system of linear equations
\[
\begin{array}{l}
2 x+3 y-z=-2 \\
x+y+z=4 \\
x-y+|\lambda| z... 2023-06-08 If \( \left(1+a x+b x^{2}\right)^{4}=a_{0}+a_{1} x+a_{2} x^{2}+\ldots+a_{8} x^{8} \), where \( a... 2023-06-08 Let \( \alpha, \beta \) and \( \gamma \) be real numbers such that the system of linear equation... 2023-06-08 If the system of linear equations.
\[
\begin{array}{l}
8 x+y+4 z=-2 \\
x+y+z=0 \\
\lambda x-3 y=... 2023-06-08 If \( \sin q \neq \cos q \) and \( x, y, z \) satisfy the equations
\[
\begin{array}{l}
x \cos p... 2023-06-08 Let the system of linear equations
\[
\begin{array}{l}
x+y+\alpha z=2 \\
3 x+y+z=4 \\
x+2 z=1
\e... 2023-06-08 If the system of linear equations \( 2 x-3 y=y+5, \alpha x+5 y \) \( =\beta+1 \), where \( \alph... 2023-06-08 Let for some real numbers \( \alpha \) and \( \beta, a=\alpha-i \beta \). If the system of equat... 2023-06-08 If \( a, b, c \) are three distinct real numbers for which there exist \( x, y, z \) such that
\... 2023-06-08 Number of values of \( \theta \) lying in \( [0,100 \pi] \) for which the system of equations, \... 2023-06-08 Let \( \Delta=\left|\begin{array}{ccc}2 a_{1} b_{1} & a_{1} b_{2}+a_{2} b_{1} & a_{1} b_{3}+a_{3... 2023-06-08 If \( \Delta=\left|\begin{array}{lll}a_{1} & a_{2} & a_{3} \\ a_{4} & a_{5} & a_{6} \\ a_{7} & a... 2023-06-08 Let \( A_{n} \) be a \( n \times n \) matrix with its \( i^{\text {th }} \) row and \( j^{\text ... 2023-06-08 If \( n \in N \) and \( \Delta_{n}=\left|\begin{array}{ccc}n ! & (n+1) ! & (n+2) ! \\ (n+1) ! & ... 2023-06-08 Let \( a, b, c \) be positive real numbers. The following system of equations in \( x, y \) and ... 2023-06-08 If \( g(x)=\frac{f(x)}{(x-a)(x-b)(x-c)} \), where \( f(x) \) is a polynomial of degree \( 3 \), ... 2023-06-08 If \( \Delta=\left|\begin{array}{lll}\left(2 n_{1}+1\right)^{2} & \left(2 n_{2}+1\right)^{2} & \... 2023-06-08 Let \( \Delta=\left|\begin{array}{ccc}-b c & b^{2}+b c & c^{2}+b c \\ a^{2}+a c & -a c & c^{2}+a... 2023-06-08 If \( a, b, c \in \mathrm{R} \) and \( a+b+c \neq 0 \) and the system of equations
\[
\begin{arr...
0