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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}

\]

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