Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The diagram shows a section of the curves $y = (2x - 1)^2$ and $y^2 = 1 - 2x$, which intersect at the points $A$ and $B$.
(i)[1]

State the coordinates for $A$.

(ii)[6]

Find the area of the shaded region, showing all essential working.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct answer: $A=(\tfrac12,0)$

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