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F.4 Maths Q 快而準40分Thanks!

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發問:

1. If 2x+hy-3=0 and 3x+y-k=o have infinite points of intersection, find the values h and k.2. Without using calculator, evaluatelog9√54-log9270+?log9150

最佳解答:

1. If 2x+hy-3=0 and 3x+y-k=o have infinite points ofintersection, find the values h and k. Sol have infinite points of intersection => 2:3=h:1=3:k h=2/3,k=9/2 2. Without using calculator, evaluate log9_√54-log9_270+(1/2)log9_150 Sol A=log9_√54-log9_270+(1/2)log9_150 2A=2log9_√54-2log9_270+log9_150 =log9_54-log9_270^2+log9_150 =log9_(54*150/(270*270)) =log9_(1/9) =-1 A=-0.5

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