- #1

zorro

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## Homework Statement

For a > 0, prove that the circle x2 + y2 =1 and the parabola y=ax2 - b

intersect at four distinct points, provided a>b>1.

**2. The attempt at a solution**

This is the solution given in my book.

Since a>0, by figure -b<-1 i.e. b>1

also when y=0

x2=b/a (from the equation of the parabola)

The step which I did not understand is this-

Therefore, b/a <1 i.e.

b<a

Hence a>b>1

Please explain how is b/a <1 ?