On the same axes, sketch the graphs of $y = -\frac{b}{x-a}$ and $y = |x-a|$, where $a$ an

Question

On the same axes, sketch the graphs of $y = -\frac{b}{x-a}$ and $y = |x-a|$, where $a$ and $b$ are positive constants and $a > b > 1$. State, in terms of $a$ and $b$, the coordinates of the points where the curves cross the $x$- and $y$- axes.[3] Hence or otherwise, solve the inequality $-\frac{b}{x-a} < |x-a|$.[4]

Accepted Answer

\{x \in \mathbb{R} : x a\}

2025 NJC P1 Q3

2025 NJC P1 Q3

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