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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

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The correct Answer is:
C
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Knowledge Check

  • The distance of the point (1,-5,9) from the plane x-y + z = 5 measured parallel to the line x = y =z is ..............

    A
    `3 sqrt(10)`
    B
    `10 sqrt(3)`
    C
    `10/(sqrt(3))`
    D
    `(20)/(3)`

  • The distance of the point (2,-1,-2) from the line (x-1)/(2) = (y+3)/(2) = (z-3)/(3) , measured parallel to the plane x+2y + z=4 is .........

    A
    `sqrt(10)`
    B
    `sqrt(20)`
    C
    `sqrt(5)`
    D
    `sqrt(30)`

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