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

Question

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

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Serenity 1 month 2021-08-18T19:27:18+00:00 1 Answer 0 views 0

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    2021-08-18T19:28:50+00:00

    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

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