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The distance of the point (2,3) from the...

The distance of the point (2,3) from the line `2x-3y+9=0` measured along a line `x-y+1=0` is

A

`sqrt(2)`

B

2

C

`2sqrt(2)`

D

`4sqrt(2)`

Text Solution

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The correct Answer is:
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Knowledge Check

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

    A
    `7/sqrt5`
    B
    `7/sqrt13`
    C
    `sqrt5`
    D
    `sqrt13`

  • The distance of the point (1, -5, 9) from the plane x - y + z=5 measured along a straight line x = y= z is

    A
    `3sqrt5`
    B
    `10sqrt3`
    C
    `5sqrt3`
    D
    `3sqrt10`

  • The distance of the line 3x-y=0 from the point (4, 1) measured along a line making an angle 135^(@) with the x-axis is

    A
    0
    B
    `13sqrt(2)//2`
    C
    `11 sqrt(2)//4`
    D
    `7sqrt(2)//5`

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    Find the perpendicular distance of that point (3,-4) from the line 2x-5y+2=0 .

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