$A$ and $B$ are the points of intersection of the line $4y = 2x + 1$ and the curve \(3y - x =

Question

$A$ and $B$ are the points of intersection of the line $4y = 2x + 1$ and the curve $3y - x = 4xy$. Find the coordinates of $A$ and of $B$.[4] Henry says that the line $2y - 4x = 5$ is perpendicular to the line $AB$. Is he correct? Justify your answer with workings. [3]

Accepted Answer

(a) $A\left(\dfrac{1}{2},\dfrac{1}{2}\right),\ B\left(-\dfrac{3}{4},-\dfrac{1}{8}\right)$ (b) Henry is not correct.

2025 PHS PRELIMS P1 Q4

2025 PHS PRELIMS P1 Q4

Solution:

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