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The line L given by (x)/(5)+(y)/(b)=1 pa...

The line L given by `(x)/(5)+(y)/(b)=1` passes through the point (13, 32). The line K is parallel to L and has the equation `(x)/(c )+(y)/(3)=1`. Then the distance between L and K is :

A

`(23)/(sqrt(15))`

B

`sqrt(17)`

C

`(17)/(sqrt(15))`

D

`(23)/(sqrt(17))`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If the line (x)/(a)+(y)/(b)=1 passes through the points (2,-3) and (4,-5), then (a, b) is

    A
    (1,1)
    B
    (-1,1)
    C
    (1,-1)
    D
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  • The distance of the point (1, 2) from the line x+y=0 measured parallel to the line 3x-y=2 is :

    A
    `(3sqrt(2))/(8)`
    B
    `(3sqrt(10))/(4)`
    C
    10
    D
    `5sqrt(5)`

  • The equations of the line through the point (1, 2, 3) and parallel to the line (x-4)/2 =(y+1)/(-3) =(z+10)/6 are :

    A
    `(x-4)/1=(y+1)/2 =(z+10)/3`
    B
    `(x-1)/2 =(y-2)/(-3) =(z-3)/6`
    C
    `(x-1)/1=(y-2)/2 =(z-3)/3`
    D
    None of these

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