Question
The line $\mathrm{y}=2 \mathrm{x}+\mathrm{k}$ touches the ellipse $4 \mathrm{x}^{2}+\mathrm{y}^{2}=8$ if $\mathrm{k}=$(a) $\pm 2$(b) $\pm 4$(c) $\pm 2 \sqrt{2}$(d) $\sqrt{2}$
Step 1
We can rewrite this in standard form by dividing by 8, which gives us $\frac{x^{2}}{2}+\frac{y^{2}}{8}=1$. Show more…
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