Question

Find equations of lines which pas through the origin and make an angle of 45°
with the line 3x - y =6​

Answer 1

Step-by-step explanation:

When two lines intersect then the angle between them is

tanθ=m1−m21+m1.m2

Where

m1=slope of given line=3

m2=slope of required line

Now put all values

tan45°=3−m21+3.m2

1+3.m2=3−m2

m2=12

So equation of line is

y−0=12(x−0)

y=12x

2y=x

x−2y=0

Answer 2

Answer:

When two lines intersect then the angle between them is

tanθ=m1−m21+m1.m2

Where

m1=slope of given line=3

m2=slope of required line

Now put all values

tan45°=3−m21+3.m2

1+3.m2=3−m2

m2=12

So equation of line is

y−0=12(x−0)

y=12x

2y=x

x−2y=0

Step-by-step explanation:

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