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	<title>Comments on: The 阴阳眼 Of Plane Geometry</title>
	<atom:link href="http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry/feed" rel="self" type="application/rss+xml" />
	<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry</link>
	<description>Sassy O Level Maths Tuition, Questions &#38; Tips from Singapore&#039;s Favourite Private Tutor</description>
	<lastBuildDate>Wed, 24 Apr 2013 20:25:50 +0000</lastBuildDate>
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		<title>By: Jukie Primestein</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-38425</link>
		<dc:creator>Jukie Primestein</dc:creator>
		<pubDate>Fri, 29 Oct 2010 20:27:53 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-38425</guid>
		<description>Miss Loi I like the way u express your proof with diagrams.  Thanks for the geometry formula sheet I have never seen one. With the diagrams of both I will be able to teach geometry even to the youths who can&#039;t read.</description>
		<content:encoded><![CDATA[<p>Miss Loi I like the way u express your proof with diagrams.  Thanks for the geometry formula sheet I have never seen one. With the diagrams of both I will be able to teach geometry even to the youths who can't read.</p>
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		<title>By: Belle</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-38390</link>
		<dc:creator>Belle</dc:creator>
		<pubDate>Wed, 27 Oct 2010 18:00:14 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-38390</guid>
		<description>&lt;span class=&quot;topsy_trackback_comment&quot;&gt;&lt;span class=&quot;topsy_twitter_username&quot;&gt;&lt;span class=&quot;topsy_trackback_content&quot;&gt;Plane geog! Click! http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry&lt;/span&gt;&lt;/span&gt;</description>
		<content:encoded><![CDATA[<p><span class="topsy_trackback_comment"><span class="topsy_twitter_username"><span class="topsy_trackback_content">Plane geog! Click! <a href="http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry" rel="nofollow">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry</a></span></span></span></p>
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		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-23621</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Mon, 30 Mar 2009 15:26:43 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-23621</guid>
		<description>&lt;b&gt;JH:&lt;/b&gt; For your conclusion to be true, &lt;var&gt;AC&lt;/var&gt; &amp; &lt;var&gt;BD&lt;/var&gt; have to be diameters of the circle in order for &lt;var&gt;ABC&lt;/var&gt; &amp; &lt;var&gt;BCD&lt;/var&gt; to be semi-circles, but this is not given in the question.

Also note that though &lt;var&gt;CE&lt;/var&gt; is tangent to the circle at &lt;var&gt;C&lt;/var&gt;, it&#039;s not stated in the question that &lt;var&gt;AC&lt;/var&gt; is ⊥ to &lt;var&gt;CE&lt;/var&gt;, so we can&#039;t assume &lt;var&gt;AC&lt;/var&gt; to be a diameter using the radius ⊥ tangent property either.

However, do share with Miss Loi any alternative method should your own 阴阳眼 happens to reveal something different ;)</description>
		<content:encoded><![CDATA[<p><b>JH:</b> For your conclusion to be true, <var>AC</var> &#038; <var>BD</var> have to be diameters of the circle in order for <var>ABC</var> &#038; <var>BCD</var> to be semi-circles, but this is not given in the question.</p>
<p>Also note that though <var>CE</var> is tangent to the circle at <var>C</var>, it's not stated in the question that <var>AC</var> is ⊥ to <var>CE</var>, so we can't assume <var>AC</var> to be a diameter using the radius ⊥ tangent property either.</p>
<p>However, do share with Miss Loi any alternative method should your own 阴阳眼 happens to reveal something different <img src='http://www.exampaper.com.sg/blog/wp-includes/images/smilies/icon_wink.gif' alt=';)' class='wp-smiley' /> </p>
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		<title>By: JH</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-23618</link>
		<dc:creator>JH</dc:creator>
		<pubDate>Mon, 30 Mar 2009 14:18:09 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-23618</guid>
		<description>Erm for the 4th question,is it possible to conclude that 
angle ABC=angle BCD=90 degree by using the right angle in semi circle theorem?</description>
		<content:encoded><![CDATA[<p>Erm for the 4th question,is it possible to conclude that<br />
angle ABC=angle BCD=90 degree by using the right angle in semi circle theorem?</p>
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		<title>By: Calvin</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-19647</link>
		<dc:creator>Calvin</dc:creator>
		<pubDate>Sun, 28 Dec 2008 04:44:16 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-19647</guid>
		<description>Okay. So my vision&#039;s still working perfectly :P</description>
		<content:encoded><![CDATA[<p>Okay. So my vision's still working perfectly <img src='http://www.exampaper.com.sg/blog/wp-includes/images/smilies/icon_razz.gif' alt=':P' class='wp-smiley' /> </p>
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		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-19645</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Sun, 28 Dec 2008 04:04:28 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-19645</guid>
		<description>Thanks &lt;b&gt;Calvin&lt;/b&gt; for pointing out the typos.

Yes in Qn 1, &lt;var&gt;SR&lt;/var&gt; should be the angle bisector and the said ratio in the question has been amended to &lt;m&gt;RP/RQ&lt;/m&gt;.

And it&#039;s not you but Miss Loi who was actually hallucinating when she was typing this whole chunk of swollen-fingers-inducing article many weeks ago :P


Do ring the bell &lt;em&gt;loud loud&lt;/em&gt; again should you spot any more typos.</description>
		<content:encoded><![CDATA[<p>Thanks <b>Calvin</b> for pointing out the typos.</p>
<p>Yes in Qn 1, <var>SR</var> should be the angle bisector and the said ratio in the question has been amended to <img src="http://www.exampaper.com.sg/wp-content/plugins/wpmathpub/phpmathpublisher/img/math_985_9cba88c57f8241e7f8d2ccb94c419665.png" style="vertical-align:-15px; display: inline-block ;" alt="RP/RQ" title="RP/RQ"/>.</p>
<p>And it's not you but Miss Loi who was actually hallucinating when she was typing this whole chunk of swollen-fingers-inducing article many weeks ago <img src='http://www.exampaper.com.sg/blog/wp-includes/images/smilies/icon_razz.gif' alt=':P' class='wp-smiley' /> </p>
<p>Do ring the bell <em>loud loud</em> again should you spot any more typos.</p>
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		<title>By: Calvin</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-19644</link>
		<dc:creator>Calvin</dc:creator>
		<pubDate>Sun, 28 Dec 2008 03:44:40 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-19644</guid>
		<description>Err okay maybe this is a little late to say this, but there seems to be a small typo with question 1...

The question reads: &quot;In the given figure, RT = RQ. If SQ bisects ∠PRQ&quot; when it kinda looks more like SR bisecting ∠PRQ...

Part 2:
The question asks to show that (RT/RQ) = (SP/SQ)... but isn&#039;t RT = RQ?

I dunno, maybe I&#039;m just hallucinating the mistakes or something :S</description>
		<content:encoded><![CDATA[<p>Err okay maybe this is a little late to say this, but there seems to be a small typo with question 1...</p>
<p>The question reads: "In the given figure, RT = RQ. If SQ bisects ∠PRQ" when it kinda looks more like SR bisecting ∠PRQ...</p>
<p>Part 2:<br />
The question asks to show that (RT/RQ) = (SP/SQ)... but isn't RT = RQ?</p>
<p>I dunno, maybe I'm just hallucinating the mistakes or something :S</p>
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		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-17892</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Tue, 09 Dec 2008 17:07:42 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-17892</guid>
		<description>&lt;b&gt;Anoneemers:&lt;/b&gt; Yes there should be more than one way to prove &lt;var&gt;L&lt;/var&gt; in that kite-ish diagram in 9(i). Did your 阴阳眼 saw the same stuffs as &lt;a href=&quot;http://www.exampaper.com.sg/blog/wp-content/uploads/gce-o-level-2008-amaths-4038-paper-2-solutions.pdf&quot; rel=&quot;nofollow&quot;&gt;Miss Loi&#039;s&lt;/a&gt;?

&lt;b&gt;Crazyhamster:&lt;/b&gt; Believe it or not, it was found via searching for &quot;&lt;a href=&quot;http://images.google.com.sg/images?num=100&amp;hl=en&amp;q=stressed%20student&amp;cr=countrySG&amp;um=1&amp;ie=UTF-8&amp;sa=N&amp;tab=wi&quot; rel=&quot;nofollow&quot;&gt;stressed student&lt;/a&gt;&quot; in Google Images!

Google may have picked you as the iconic symbol of all stressed Singaporean students!</description>
		<content:encoded><![CDATA[<p><b>Anoneemers:</b> Yes there should be more than one way to prove <var>L</var> in that kite-ish diagram in 9(i). Did your 阴阳眼 saw the same stuffs as <a href="http://www.exampaper.com.sg/blog/wp-content/uploads/gce-o-level-2008-amaths-4038-paper-2-solutions.pdf" rel="nofollow">Miss Loi's</a>?</p>
<p><b>Crazyhamster:</b> Believe it or not, it was found via searching for "<a href="http://images.google.com.sg/images?num=100&#038;hl=en&#038;q=stressed%20student&#038;cr=countrySG&#038;um=1&#038;ie=UTF-8&#038;sa=N&#038;tab=wi" rel="nofollow">stressed student</a>" in Google Images!</p>
<p>Google may have picked you as the iconic symbol of all stressed Singaporean students!</p>
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		<title>By: crazyhamster</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-17805</link>
		<dc:creator>crazyhamster</dc:creator>
		<pubDate>Mon, 08 Dec 2008 17:02:47 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-17805</guid>
		<description>whoa whoa whoa, when was that photo taken</description>
		<content:encoded><![CDATA[<p>whoa whoa whoa, when was that photo taken</p>
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		<title>By: Anoneemers</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-15227</link>
		<dc:creator>Anoneemers</dc:creator>
		<pubDate>Sun, 26 Oct 2008 07:22:39 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/the-yin-yang-eye-of-plane-geometry#comment-15227</guid>
		<description>There&#039;s another 阴阳眼 question on Friday which is the 9(i) proving L=4sinθ-2cosθ (p.s. this is not plane geometry) and alot of people dunno how to prove because they see right angles on 2 sides and then they thought is kite =.= then i was thinking if its a kite then L=2cm which is impossible... 
So i drew many many lines n eventually got the answer</description>
		<content:encoded><![CDATA[<p>There's another 阴阳眼 question on Friday which is the 9(i) proving L=4sinθ-2cosθ (p.s. this is not plane geometry) and alot of people dunno how to prove because they see right angles on 2 sides and then they thought is kite =.= then i was thinking if its a kite then L=2cm which is impossible...<br />
So i drew many many lines n eventually got the answer</p>
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