2020 EJC Promo Q3

Timothy Gan

2020 EJC Promo Q3

(i)

Sketch the curve with equation

$y=\frac{{{x}^{2}}+9x-5}{x+10}$,

indicating clearly the equations of any asymptotes, the coordinates of any points where the curve crosses the axes and of any turning points.

[4]

(ii)

Hence, find the range of values of $k$, where $k$ is real, such that the equation

$\frac{{{x}^{2}}+9x-5}{x+10}=kx+10k-11$

has no solution. Show your reasoning clearly.

[2]

 

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Published: 28th September 2023

Written by

Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.

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