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Question

A straight line L through the poit (3,2) is inclined at an angle 600 to the line 3x+y=1. If L also intersects the x-axis, then the equation of 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.
Then m+313m=3
m+3=±(33m)


4m=0 or 2m=23m=0 or m=3L intersects x - axis, m=3Equation of L is y+2=3(x3)or 3xy(2+33)=0

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