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Official 2022 Paper 1 · Q20

Paper 1Algebra

nn is the number of points of intersection of the graphs

y=∣x2−a2∣andy=a2∣x−1∣y=|x^2-a^2|\quad\text{and}\quad y=a^2|x-1|

where aa is a real number.

What is the smallest value of nn that is not possible?

An=1n=1
Bn=2n=2
Cn=3n=3
Dn=4n=4
En=5n=5

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