 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2016/paper-1/5/b/solution

Substituting

y = 1/2

into the absolute value relation gives

1/2 = 1 - x^{2}

, so

x^{2} = 1/2

. All real intersections are

(x, y) = (\frac{1}{2}, \frac{1}{2}), (- \frac{1}{2}, \frac{1}{2}) .

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