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Find the distance of the point (3, 5) fr...

Find the distance of the point `(3, 5)` from the line `2x + 3y = 14` measured parallel to the line `x-2y = 1.`

A

`7/(sqrt(5))`

B

`7/(sqrt(13))`

C

`sqrt(5)`

D

`sqrt(13)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The distance of the point (3,5) from the line 2x+3y-14=0 measured parallel to the line x-2y=1 is

    A
    `7/(sqrt(5))`
    B
    `7/(sqrt(13))`
    C
    `sqrt(5)`
    D
    `sqrt(13)`
  • The distance of the point (1, 3) from the line 2x+3y=6 , measured parallel to the line 4x+y=4 , is

    A
    `5/sqrt(13)` units
    B
    `3/sqrt(17)` unit
    C
    `sqrt(17)` units
    D
    `sqrt(17)/2` units
  • The distance of the point (-2,3) from the line x - y = 5 is

    A
    `5 sqrt2`
    B
    `2 sqrt5`
    C
    `3 sqrt5`
    D
    `5 sqrt3`
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