Asked by Katie
                Suppose p and q are points on the unit circle such that the line through p and q intersects the real axis. Show if z is the point where this line intersects the real axis, then z=(p+q)/(pq+1)
So far I've figured out that the equation for the line is z=p+t(q-p) but I don't know what to do with it.
            
        So far I've figured out that the equation for the line is z=p+t(q-p) but I don't know what to do with it.
Answers
                    Answered by
            Steve
            
    In your equation, p and q are vectors
so, find where the y-component is zero.
    
so, find where the y-component is zero.
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