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 $x=\alpha ext{ }t+\beta ,$ $y=\gamma ext{ }t+\delta $ is given by

Question

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 $x=\alpha 	ext{ }t+\beta ,$ $y=\gamma 	ext{ }t+\delta $ is given by

Accepted Answer

$a\alpha +b\gamma =0$

Answer

$\alpha \gamma -b\alpha =0$ , $\beta =\delta =c=0$

Answer

$a\alpha -b\gamma =0$ , $\beta =\delta =0$

Answer

$a\gamma =b\alpha =0$

st-line

Question: 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

st-line

Question: 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

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