Cambridge Exam Reference
Paper: Cambridge International AS & A-Level Mathematics (9709/11)
Session: October/November 2022 • Question 3
Total Marks: 4 Marks
Topic: Line and Curve Intersection & Coordinate Distance
A-LEVEL•Mathematics•Pure Mathematics 1•Question 2
Cambridge Exam Reference
Cambridge International AS & A-Level Mathematics (9709/11/O/N/22 Q3) [4 Marks] The straight line with equation $y = 2x - 1$ intersects the quadratic curve $y = x^2 - 4x + 8$ at two points $A$ and $B$. Find the exact coordinates of $A$ and $B$, and find the length of the line segment $AB$ in surd form.
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