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Clavis TMUA Set B Paper 1 · Q20

Paper 1Algebra

The curve with equation y=x3−3x2+ky=x^3-3x^2+k, where kk is a real constant, meets the xx-axis at exactly two distinct points.

Find the possible values of kk.

Ak=0k=0 only
Bk=4k=4 only
Ck=0k=0 or k=4k=4
D0<k<40<k<4
Ek<0k<0 or k>4k>4
Fk=−4k=-4 or k=0k=0

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