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Find the value of k if the angle between...

Find the value of `k` if the angle between the straight lines `4x-y+7=0, kx-5y-9-0` is `45^(@)`

Text Solution

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The correct Answer is:
`(pi)/(4)`
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Explore conceptually related problems

Find the value of k, if the angle between the straight lines 4x-y+7=0 and kx-5y-9=0 is 45^(@) .

Find the value of k , if the angle between the straight lines 4x - y + 7 =0 and kx - 5y - 9 =0 is 45^@ .

Knowledge Check

  • The value of k, if the angle between the straight lines 4x-y+8=0,kx-5y-9=0 is 45^(@) is

    A
    `(-25)/3,3`
    B
    `25/3,-3`
    C
    `(-25)/3,-3`
    D
    `22/3,3`
  • The value of K gt 0 such that the angle between the lines 4x-y+7=0 and kx-5y-9=0 is 45^@ , is

    A
    `25/3`
    B
    `5/3`
    C
    3
    D
    5
  • The angle between the lines 4x-y+9=0, 25x+15y+27=0 is

    A
    `pi//2`
    B
    `pi//4`
    C
    0
    D
    `pi//6`
  • Similar Questions

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    If the acute angle between the lines 4x-y+7=0, kx+5y-9=0 is 45^(@) , then the value of k is