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Math

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if the angle between the two lines 3x-5y-1=0 and Kx-y=3 is 45, then find the value of k

  • Math -

    m1 = tanA = -3 /-5 = 0.6,
    tanA = 0.6,
    A = 31 deg.

    B = 31 + 45 = 76 deg.

    m2 = tanB,
    m2 = tan76 = 4.0

    m2 = -K / -1 = 4,
    -K / -1 = 4,
    Cross multiply:
    -K = - 4,
    K = 4.

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