• Choice C

    The operation \diamondsuit is defined as:

    (a,b)(c,d)=ac+bdabcd(a, b) \diamondsuit (c, d) = \frac{ac + bd}{ab - cd}

    Substitute (a,b)=(4,3)(a, b) = (4, 3) and (c,d)=(1,2)(c, d) = (1, 2):

    (4)(1)+(3)(2)(4)(3)(1)(2)=4+6122=1010=1\frac{(4)(1) + (3)(2)}{(4)(3) - (1)(2)} = \frac{4 + 6}{12 - 2} = \frac{10}{10} = 1

    Skills you are tested for:

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