Wat is een
parametervoorstelling
van de parabool
y2 = 6x  ?
A.  \(\small\boldsymbol{\left\{\begin{matrix}x=2\lambda ^2\\x=2\lambda\end{matrix}\right. }\)
B.  \(\small\boldsymbol{\left\{\begin{matrix}x=2\lambda\\x=2\lambda^2\end{matrix}\right.}\)
C.  \(\small\boldsymbol{\left\{\begin{matrix}x=3\lambda^2\\x=3\lambda\end{matrix}\right.}\)
D.  \(\small\boldsymbol{\left\{\begin{matrix}x=3\lambda\\x=3\lambda^2\end{matrix}\right.}\)
E.  \(\small\boldsymbol{\left\{\begin{matrix}x=6\lambda^2\\x=6\lambda\end{matrix}\right.}\)
A    B    C    D    E

[ 6-4184 - op net sinds 29.11.12-(E)-30.10.2023 ]

Translation in   E N G L I S H

Which are
parametric
equations
of the
parabola
y2 = 6x  ?
A.   \(\boldsymbol{\scriptsize\left\{\begin{matrix}x=2\lambda ^2\\x=2\lambda\end{matrix}\right. }\)
B.   \(\boldsymbol{\scriptsize\left\{\begin{matrix}x=2\lambda\\x=2\lambda^2\end{matrix}\right.}\)
C.   \(\boldsymbol{\scriptsize\left\{\begin{matrix}x=3\lambda^2\\x=3\lambda\end{matrix}\right.}\)
D.   \(\boldsymbol{\scriptsize\left\{\begin{matrix}x=3\lambda\\x=3\lambda^2\end{matrix}\right.}\)
E.   \(\boldsymbol{\scriptsize\left\{\begin{matrix}x=6\lambda^2\\x=6\lambda\end{matrix}\right.}\)

Oplossing - Solution


Is   y² = 6x ?
Voor E is :
y² = (6λ)² = 36λ²
6x = 6.6λ² = 36λ²