 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2024/paper-1/6/b/solution

From the factorisation in part (a),

x = 0

x = 1

. Substitution into the parabola equation gives respectively

y = 1

y = 0

. Thus the two intersections of the parabola and the unit circle are

(x, y) = (0, 1) and (1, 0) .

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