Subject

    গাণিতিক যুক্তি

    Topic

    সূচক ও লগারিদম

    {(xp/xq)p+q} {(xq/xr)q+r} {(xr/xp)r+p} = কত?

    ক)
    x
    খ)
    xp+q+r
    গ)
    x2p+2q+2r
    ঘ)
    1

    Explanation

    (x p /x q ) p + q . (x q /x r ) q + r . (x r /x p ) r + p = (x p - q ) p + q . (x q - r ) q + r . (x r - p ) r + p = x (p - q)(p + q) . x (q - r)(q + r) . x (r - p)(r + p) = x p 2 - q 2 . x q 2 - r 2 . x r 2 - p 2 = x p 2 - q 2 + q 2 - r 2 +r 2 - p 2 = x 0 = 1

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