Paper 3 May/June 2011 MATHEMATICS (9709/33) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

The line $l$ has equation $r = \left( \begin{gathered}
\alpha \hfill \\
\,1 \hfill \\
4 \hfill \\
\end{gathered} \right) + \lambda \left( \begin{gathered}
\,4 \hfill \\
\,\,3 \hfill \\
- 2 \hfill \\
\end{gathered} \right)$, where $\alpha $ is a constant. The plane $p$ has equation $2x - 2y + z = 10$
a) Given that $l$ does not lie in $p$, show that $l$ is parallel to $p$.
b) Find the value of $\alpha $ for which…