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Official 2019 Paper 1 · Q20

Paper 1Functions & graphs

What is the complete range of values of kk for which the curves with equations

y=x3−12xy=x^3-12x

and

y=k−(x−2)2y=k-(x-2)^2

intersect at three distinct points, of which exactly two have positive xx-coordinates?

A−4<k<0-4<k<0
B−4<k<4-4<k<4
C−4<k<16-4<k<16
D−16<k<0-16<k<0
E−16<k<4-16<k<4
F−16<k<16-16<k<16

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