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Question Number 131285 by EDWIN88 last updated on 03/Feb/21
How many curves with equation  Ax^2 −((B/2)y)^2 = 0 with A and B two  different numbers are selected   from the set { −3,−1,0,1,3 } ?  (a) 8      (b)10     (c)12  (d) 22   (e) 20
$${How}\:{many}\:{curves}\:{with}\:{equation} \\ $$$${Ax}^{\mathrm{2}} −\left(\frac{{B}}{\mathrm{2}}{y}\right)^{\mathrm{2}} =\:\mathrm{0}\:{with}\:{A}\:{and}\:{B}\:{two} \\ $$$${different}\:{numbers}\:{are}\:{selected}\: \\ $$$${from}\:{the}\:{set}\:\left\{\:−\mathrm{3},−\mathrm{1},\mathrm{0},\mathrm{1},\mathrm{3}\:\right\}\:? \\ $$$$\left({a}\right)\:\mathrm{8}\:\:\:\:\:\:\left({b}\right)\mathrm{10}\:\:\:\:\:\left({c}\right)\mathrm{12} \\ $$$$\left({d}\right)\:\mathrm{22}\:\:\:\left({e}\right)\:\mathrm{20} \\ $$
Answered by EDWIN88 last updated on 03/Feb/21
12 ?
$$\mathrm{12}\:?\: \\ $$