Find the equation of the
perpendicular

bisector of the line joining the points

(0,0) and (-3,4)​

Find the equation of the
perpendicular

bisector of the line joining the points

(0,0) and (-3,4)​

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Eloise

2 thoughts on “Find the equation of the<br /> perpendicular <br /><br />bisector of the line joining the points <br /><br />(0,0) and (-3,4)​”

  1. Answer:

    Answer

    Correct option is

    C

    6x+4y=1

    A(1,2) and B(−2,0) are given point

    ∴ midpoint p=(

    2

    1+(−2)

    ,

    2

    2+0

    )

    ∴ midpoint p=(

    2

    −1

    ,1)

    Also slope of AB=

    −2−1

    0−(2)

    =

    −3

    −2

    ∴ slope of AB=

    3

    2

    slope of line perpendicular to AB=

    3

    2

    −1

    =

    2

    −3

    ∴ equation of perpendicular bisector

    y−1=

    2

    −3

    (x+

    2

    1

    )

    ∴y−1=

    2

    −3

    (x+

    2

    1

    )

    ∴2y−2=−3(x+

    2

    1

    )

    ∴4y−4=−3(2x+1)

    ∴4y−4=−6x−3

    ∴4y+6x−4+3=0

    6x+4y−1=0

    ∴ equation of line 6x+4y−1=0

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