# Equation of the line tangent to&nbsp;

habib A 2022-04-02

Equation of the line tangent to $\left\{\begin{array}{l}y={x}^{2}\\ {z}^{2}=16-y\end{array}\right\$, at the point (4,16,0) ?

a) $\left\{\begin{array}{l}4x=y\\ z=0\end{array}\right\$

b)$\left\{\begin{array}{l}x=4\\ y=16\end{array}\right\$

c)$\left\{\begin{array}{l}y-x=12\\ z=0\end{array}\right\$

d)$\left\{\begin{array}{l}x+y=20\\ z=0\end{array}\right\$

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