iran-konkur 2016 Q131

iran-konkur · Other · konkur-riazi_1395_specialized Linear transformations
131. Consider line $\Delta$ with equation $3x + 2y = 6$. Under rotation about the origin by $\dfrac{\pi}{2}$, in the direction of line $\Delta'$, the equation of line $\Delta'$ under the translation $T(x,y) = (x-3, y+1)$ is:
(1) $3y - 2x = 12$ (2) $3y - 2x = 15$ (3) $2y - 3x = 8$ (4) $2y + 2x = 9$
\textbf{131.} Consider line $\Delta$ with equation $3x + 2y = 6$. Under rotation about the origin by $\dfrac{\pi}{2}$, in the direction of line $\Delta'$, the equation of line $\Delta'$ under the translation $T(x,y) = (x-3, y+1)$ is:

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(1) $3y - 2x = 12$ \hfill (2) $3y - 2x = 15$ \hfill (3) $2y - 3x = 8$ \hfill (4) $2y + 2x = 9$

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