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An equation of a line whose segment betw...

An equation of a line whose segment between the coordinates axes is divided by the point `((1)/(2),(1)/(3))` in the ratio `2:3` is

A

`6x + 9y=5`

B

`9x+6y=5`

C

`4x+9y=5`

D

`9x+4y=5`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If the portion of a line intercepted between the coordinates axes is divided by the point (2,-1) in the ratio of 3:2, then the equation of that line is

    A
    `5x-2y-20=0`
    B
    `2x-y-5=0`
    C
    `3x-y-7=0`
    D
    `x-3y-5=0`
  • The portion of a line intercepted between the coordinate axes is divided by the point (2, -1) in the ratio 3:2 . The equation of the line is

    A
    `5x-2y-20=0`
    B
    `2x-y+7=0`
    C
    `3x-4y-10=0`
    D
    `2x+y-4=0`
  • The portion of a line intercepted between the coordinate axes is bisected by the point (x_(1), y_(1)) . The equation of the line is

    A
    `(x)/(x_(1))+(y)/(y_(1))=0`
    B
    `(x)/(x_(1))-(y)/(y_(1))=0 `
    C
    `(x)/(x_(1))+(y)/(y_(1))=2`
    D
    `(x)/(x_(1))-(y)/(y_(1))=2`
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    A line is such that its segment between the axes is bisected at the point (x_1:y_1) Find the equation of that line.

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