The parallelism condition for two straight lines one of which is specified by the equation \[ax+by+c=0\]the other being represented parametrically by \[x=\alpha \text{ }t+\beta ,\] \[y=\gamma \text{ }t+\delta \] is given by [AMU 2000]

\[\alpha \gamma -b\alpha =0\], \[\beta =\delta =c=0\]

\[a\alpha -b\gamma =0\], \[\beta =\delta =0\]

The parallelism condition for two straight lines one of which is speci

1.	The parallelism condition for two straight lines one of which is specified by the equation \[ax+by+c=0\]the other being represented parametrically by \[x=\alpha \text{ }t+\beta ,\] \[y=\gamma \text{ }t+\delta \] is given by [AMU 2000]
A.	\[\alpha \gamma -b\alpha =0\], \[\beta =\delta =c=0\]
B.	\[a\alpha -b\gamma =0\], \[\beta =\delta =0\]
C.	\[a\alpha +b\gamma =0\]
D.	\[a\gamma =b\alpha =0\]
Answer» D. \[a\gamma =b\alpha =0\]

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The parallelism condition for two straight lines one of which is specified by the equation \[ax+by+c=0\]the other being represented parametrically by \[x=\alpha \text{ }t+\beta ,\] \[y=\gamma \text{ }t+\delta \] is given by [AMU 2000]

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