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JEE MATHEMATICS MCQ: STRAIGHT LINES

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The parallelism condition for two straight lines one of which is specified by the equation ax+by+c=0ax + by + c = 0 and the other being represented parametrically by x=αt+β,  y=γt+δ,x = \mathrm{\alpha }t + \mathrm{\beta },\mathrm{\;}y = \mathrm{\gamma }t + \mathrm{\delta }, is given by
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Correct option: C
aα+bγ=0a\mathrm{\alpha } + b\mathrm{\gamma } = 0
Option C (aα+bγ=0a\mathrm{\alpha } + b\mathrm{\gamma } = 0) is correct because it represents the condition where the slopes of the two lines are equal.

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