Question

Find the equations of the lines included at an angle of measure

pi/6

with X-axis and passing through (1, –1).​

Answer 1

Answer:

Slope of line=m=tan

6

π

=

3

1

and passes through Q(

3

,2)

⇒Equation of line:

⇒y−2=

3

1

(x−

3

)

⇒y

3

−2

3

=x−

3

⇒y

3

−x=

3

Other line

3

x−4y=−8

∴Point of intersection:

3

x−4y=−8

−x+

3

y=

3

−x

3

⇒−

3

x+3y=3

−y=−5

⇒y=5

3

x=4y−8

⇒

3

x=12

⇒x=

3

3

×4

=4

3

∴P→(4

3

,5)Q→(

3

,2)

⇒PQ=

(4

3

−

3

)

2

+(5−2)

2

=

(3

3

)

2

+(3)

2

=

27+9

=

36

=6 units