<p>A curve $C$ has parametric equations</p>
<p style="text-align: center">$x=a\left( {{t}^{2}}-t \right)$, $y=a\left( 1-2{{t}^{2}} \right)$, $-3 < t\le 2$,</p>
<p>where $a$ is a positive constant.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Sketch the graph of $C$, stating the coordinates of the end-points.</div><p style="text-align: right;">[2]</p></li><li><div class="list-item-paragraph">Find, in terms of $a$,</div><ol class="i-list"><li><div class="list-item-paragraph">the equation of the normal at the point where $t=-1$.</div><p style="text-align: right;">[4]</p></li><li><div class="list-item-paragraph">the exact coordinates of the point where the normal cuts $C$ again.</div><p style="text-align: right;">[4]</p></li></ol></li></ol>

$x=a\left( {{t}^{2}}-t \right)$, $y=a\left( 1-2{{t}^{2}} \right)$, $-3 < t\le 2$,

Sketch the graph of $C$, stating the coordinates of the end-points.

Parametric Equations

Graphing Techniques

H2 Math

International Baccalaureate Higher Level Mathematics

2024 YIJC Promo Q6

2024 YIJC Promo Q6

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