JEE Advanced Mathematics question
Eliminating from , , we get
Answer: (B),(C)
Solution
Clear the denominators to get three homogeneous linear equations in
\begin{cases} a-xb+xc=0\\ -ya-b+yc=0\\ za-zb-c=0\end{cases}
These must have the nontrivial solution
Expanding along
(1+yz)+x(y
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