Unattributed TMUA Mock Set B Paper 1 · Question 19

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Unattributed TMUA Mock Set B Paper 1 · Q19

Paper 1GeometryAlgebra

Suppose that $x_1,x_2$ are two different roots of

f(x)=x^2+mx+\sqrt{1+m^2}=0.

There is a line passing through the points $A(x_1,x_1^2)$ and $B(x_2,x_2^2)$ . How many intersections are there between the line and the circle $x^2+y^2=1$ ?

0

1

2

DChanging with different values of

m

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