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Question

The equation of the line passing through
(1, 2) and making an angle of 30° in clockwise direction with the positive direction of y-axis is .

A
x3y+231=0
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B
3x+y32=0
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C
3xy+23=0
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D
x+3y231=0
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Solution

The correct option is C 3xy+23=0
As the given line makes an angle of 30° in clockwise direction with the positive direction of y-axis, hence it will make an angle of 60° in anti-clockwise direction with the positive direction of x-axis.
So, slope of the line, m=tan 60°=3.Equation of the line passing through (1, 2)and having slope 3 isy2=3(x1)3xy+23=0

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