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Question

A straight line L through the point (3,2) is inclined at an angle 60 to the line 3x+y=1. If L also intersects the x-axis, then the equation of line L is

A
y+3x+233=0
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B
y3x+2+33=0
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C
3yx+3+23=0
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D
3y+x3+23=0
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Solution

The correct option is B y3x+2+33=0
Let the slope of line L be m.
Slope of the line 3x+y=1 is 3.
Then, tan60=m+313m
m+313m=3
m=0,3
Since, L intersects the x-axis,
m=3
Hence, equation of line L is
y(2)=3(x3)
y3x+2+33=0

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