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Euclid R2Drew2 Edition Paper 1 · Q18

Paper 1Algebra

For a real number aa, consider the graphs

y=∣x2−1∣y=|x^2-1|

and

y=∣(x−a)2−1∣.y=|(x-a)^2-1|.

The graphs intersect at exactly three distinct points.

Which of the following describes all the possible values of aa?

Aa=0a=0 only
B−2<a<0-2<a<0 or 0<a<20<a<2
C−2≤a≤2-2\leq a\leq2
Da<−2a<-2 or a>2a>2
Ea≠0a\neq0
Fa=±2a=\pm2 only

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