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Prove that the straight lines 4x+7y=9, 5...

Prove that the straight lines `4x+7y=9, 5x-8y+15=0 and 9x-y+6=0 are concurrent.

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Knowledge Check

  • If the straight lines x+2y-9=0, 3x+5y-5=0 and ax+by-1=0 are concurrent, then the straight line 35x-22y-1=0 passes through

    A
    (a,-b)
    B
    (a,b)
    C
    (-a,b)
    D
    None

  • If the straight lines x+2y=9,3x-5y=5 and ax+by=1 are concurrent , then the straight line 5x+2y=1 passes through the point

    A
    `(a,-b)`
    B
    `(-a,b)`
    C
    `(a,b)`
    D
    `(-a,-b)`

  • The value of k for which the lines 7x -8y +5=0, 3x-4 y+5 =0 and 4x+5y+k =0 are concurrent is given by

    A
    `-45`
    B
    `44`
    C
    `54`
    D
    `-54`

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    The straight lines x+2y-9=0,3x+5y-5=0, and ax+by-1=0 are concurrent,if the straight line 35x-22y+1=0 passes through the point (a,b)(b)(b,a)(-a,-b) (d) none of these

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