Question

find the equation of the pair of line through the origin and forming an equilateral triangle with the line and also find its area 2x+y+1=0​

Answer 1

Step-by-step explanation:

Pair of lines are forming an equilaterak triangle with line y=3

Angle of elevation of one line will be 60 and other will be 120

Slope of one line

⇒ m

1

=tan60=

3

Equation of line 1 is

⇒ y=m

1

x=

3

x

⇒ y−

3

x=0

Slope of line 2 is

⇒ tan120=−

3

Equation is

⇒ y+

3

x=0

So, equation of pair of lines is

⇒ (y+

3

x)(y−

3

x)=0

⇒ 3x

2

−y

2

=0