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Question

If two lines are intersecting at (4,3) and angle between them is 45. If the slope of one line is 2, then the equation(s) of other line is/are

A
3xy9=0
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B
3x+y15=0
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C
x3y+5=0
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D
x+3y13=0
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Solution

The correct options are
B 3x+y15=0
C x3y+5=0
Let slope of required line =m
tan45=m21+2m
1=m21+2m
1+2m=±(m2)
m=3,1/3
Now this lines passes through (4,3),then the equations of lines are :
y3=3(x4), y3=13(x4)
3x+y15=0, x3y+5=0

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