本题目来源于试卷: Differential Calculus，类别为 IB数学
[问答题]
A curve is defined by e(b7t39i-ya aze /( 9czi;h;eye u biu athjeb8f//l 9 $x^{2}+y^{2}-3 x y+45=0 $.
1. Show that $ \frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{3 y-2 x}{2 y-3 x}$ .
2. Find the equation of the normal to the curve at the point (21,9) .
3. Find the distance between the two points on the curve where each tangent is perpendicular to the y -axis.
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