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tmua.me Medium Set C Paper 2 · Q3

Paper 2Algebra

For which values of the real constant kk do the graphs

y=x2−4x−2(x≠2)andy=kxy=\frac{x^2-4}{x-2}\quad(x\ne2)\qquad\text{and}\qquad y=kx

have no point in common?

Ak=1k=1 only
Bk=1k=1 or k=2k=2
Ck=2k=2 only
Dk=−1k=-1 or k=1k=1
Ek=0k=0 or k=2k=2

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