AP EAPCET 24-Aug-2021 Shift 2 Paper

Given line, 2x+3y=6
Slope of line =−

2

3

Equation of lines passing through origin and form an isosceles right angle triangle with the given line
∴ Each angle be 45°
∴ Equation of line passing through origin and making an angle 45° with the line 2x+3y=6 is

y

x

=

− 2 3 +tan‌45°

1+( −2 3 )‌tan‌45°

⇒

y

x

=

− 2 3 +1

1+ 2 3

or

y

x

=

− 2 3 −1

1− 2 3

⇒

y

x

=

1

5

or

v

x

=

−5

1

⇒5y=x or y+5x=0
⇒x−5y=0 or 5x+y=0