A curve has equation $y = ax + b + \frac{c}{x^2 - 1}$, where $a$, $b$ and $c$ are real const

Question

A curve has equation $y = ax + b + \frac{c}{x^2 - 1}$, where $a$, $b$ and $c$ are real constants. It is given that the curve crosses the $x$-axis at $x = 2$. The normal to the curve at the point $(0, 3)$ meets the $x$-axis at $x = 7.5$. Find the values of $a$, $b$ and $c$.[4]

Accepted Answer

$a =\frac{5}{2}, b =-3, c=-6$

2025 RI P1 Q1

2025 RI P1 Q1

Video Solution:

Solution:

Solution locked