circles
Difficulty Levels:
1
Q&A
Basic
The curve $$C$$ has equation
$$
\left(x^{2}+y^{2}\right)^{2}=4 x y
$$
Answer:
Not available
Explanation:
2
Q&A
Basic
Obtain the coordinates of the points of intersection of $$C$$ with the axes．
Answer:
$$(1,0),(4,0)$$
$$(0,4)$$
Explanation:
3
Q&A
Basic
Show that $$l_{1}$$ and $$l_{2}$$ intersect．
Answer:
Solves any 2 of the equations：
$$4+2 \lambda=4+\mu,-2+\lambda=-5-\mu,-4 \lambda=2-\mu$$
to obtain $$\lambda=-1, \mu=-2$$
Checks consistency with the third equation
Explanation:
4
Q&A
Basic
Sketch $$C$$．Your sketch should indicate the coordinates of any points of intersection with the $$y$$ -axis．You do not need to find the coordinates of any stationary points．
Answer:
<img--a567c144cc4dc61f65a80b9f24cda876.png--img>
Explanation:
5
Q&A
Basic
Find the coordinates of the intersections of $$C$$ with the axes，and sketch $$C$$．
Answer:
<img--87a137050fd2b9e407e3b1b4a1f579d1.png--img>
$$(0,1), \quad\left(-\frac{1}{2}+\frac{1}{2} \sqrt{5}, 0\right), \quad\left(-\frac{1}{2}-\frac{1}{2} \sqrt{5}, 0\right)$$
Explanation:
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