JEE Advanced Mathematics question
If the system of equations
\begin{cases} ax+by+c=0\\ bx+cy+a=0\\ cx+ay+b=0\end{cases}
has a solution then the system of equations
has
Answer: (C)
Solution
If solves the first system, then is a nonzero solution of the homogeneous system with coefficient matrix . Hence
==0 .
The coefficient determinant of the second system is . To see this,
See the full step-by-step solution
Create a free account to read the complete working (6 steps), and practise questions like this in a timed test.
Create a free account