SVC MATH 3U BLOGAROONY

This blog dates back to 2015-16 while I was teaching senior high school Extension 1 Mathematics (formerly 3U Maths) in Sydney, Australia. It contains a wide range of explanations, notes, and resources covering senior secondary-level mathematics topics. The easiest ways to navigate are by using the search bar or browsing through the labels/tags. If you find my content helpful and would like to support my work, a coffee donation is greatly appreciated — thank you!

Showing posts with label Parametric Equations. Show all posts

Sunday, 6 March 2016

EX 11.9 Grove 3u yr 11 Chord of contact question

EX 11.9 Grove 3u yr 11

Formula is $xx_0=2a(y+y_0)$

8=4a, so a=2.

$xx_0=2(2)(y+y_0)$

$xx_0=4(y+y_0)$

$4y +4y_0=xx_0$
$4y=xx_0-4y_0$

$y=xx_0/4 - y_0$

Compare to $x+2y-3=0$, which is the same as $y=-x/2 + 3/2$

Comparing gives $x_0/4=-1/2$ and $-y_0=3/2$

$x_0=-2, y_0=-1.5$

So Coordinates of $P=(-2,-1.5)$.