Question

The distance between the lines represented by 4x2 + 12xy + 9y? - 6x+9y+2 =0 is​

Answer 1

Answer:

ANSWER

Given Eq

x

2

−6xy+9y

2

+3x−9y−4=0

x=

2

−(3−6y)±

9−36y+36y

2

−4(9y

2

−9y−4)

2x=−(3−6y)±

9−36y+36y

2

−36y

2

−36y+16

2x=−(3−6y)±

25

2x=−(3−6y)±5

2x=−3+6y+5 and 2x=−3+6y−5

2x−6y=2 and 2x−6y=−8

x−3y−1=0 and x−3y+4=0

Here lines are parallel Distance between x−3y−1=0 and x−3y+4=0 by formula is

distance=

∣

∣

∣

∣

∣

a

2

+b

2

c

1

−c

2

∣

∣

∣

∣

∣

distance=

∣

∣

∣

∣

∣

∣

1

2

+(−3)

2

−1−4

∣

∣

∣

∣

∣

∣

distance=

∣

∣

∣

∣

∣

1+9

−5

∣

∣

∣

∣

∣

distance=

10

5

distance=

10

5

10