MAT - Paper 2008 - Q1C


Flashcards

2021-10-10

\[(\cos \theta) x - (\sin \theta) y = 2\] \[(\sin \theta)x + (\cos \theta)y = 1\]

How could you eliminate one of the variables?


Multiply by $\cos \theta$ or $\sin \theta$.

\[(\cos \theta) x - (\sin \theta) y = 2\] \[(\sin \theta)x + (\cos \theta)y = 1\]

If asked which values of $\theta$ these equations are solvable for, what does that mean?


What values of $\theta$ the system of equations is consistent for.

\[(\cos \theta) x - (\sin \theta) y = 2\] \[(\sin \theta)x + (\cos \theta)y = 1\]

What is this in disguise?


A rotation.




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