JEE Advanced Mathematics question

MathematicsTrigonometric Ratio and IdentitiesJEE Advanced

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 . (If the fractions are undefined.) So

=0 .

Expanding along :

(1+yz)+x(y

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Question ID VK-108297