Question
The curve $x^{3}-3 x y^{2}+2=0$ and $3 x^{2} y-y^{3}-2=0$ cut at an angle of(a) $45^{\circ}$(b) $60^{\circ}$(c) $90^{\circ}$(d) $30^{\circ}$
Step 1
The derivative of a curve gives us the slope of the tangent line at any point on the curve. For the first curve $x^{3}-3 x y^{2}+2=0$, we differentiate with respect to $x$ while holding $y$ constant. This gives Show more…
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