Answer:
Mathenaricu/P2.
CAPS - Gtade 11
QUESTION 4
In the diagram, $P(2 ;-2), G(5 ; 2)$ and $C(6 ; y)$ are the vertices of $\triangle F C C$. $F G \perp F C$. $N$ is a point on $FG$ such thal the inclination of $NT$ is $104, C 4^{\circ}$.
The angle of inclination of $FG$ is $\beta$ and $FNC =\theta$.
4.1 Calculate the gradient of $FG$.
(2)
4.2 Calculate the value of $y$ :
43. Calculate the size of 9.
4.4 Ca.culate the length of NC.
\[
\begin{array}{l}
\text { NC. } \\
\tan \theta=m_{C}(6 ;-6) \\
\tan (104,04) \\
m m_{C}=-4
\end{array}
\]