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<quiz>
  <question type="stack">
    <name>
      <text>2.6.1.3 Task: write eq of circle</text>
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    <questiontext format="html">
      <text><![CDATA[<p class="HELM_exercise">Exercise</p>
<p>Consider the circle centre at the origin and of radius {@r1@}.</p>
<ol class="HELM_parts">
    <li>
        <p>Write down the equation of this circle.</p>
        <p>[[input:ans1]] [[validation:ans1]][[feedback:prt1]]</p>
    </li>

    <li>
        <p>For the following points determine which lie on the circumference of this circle, which lie inside the circle and which lie outside the circle.</p>
        <p>\( (5,0)\) [[input:ans2]] [[validation:ans2]][[feedback:prt2]]</p>
        <p>\( (0,-5)\) [[input:ans3]] [[validation:ans3]][[feedback:prt3]]</p>
        <p>\( (4,3)\) [[input:ans4]] [[validation:ans4]][[feedback:prt4]]</p>
        <p>\( (-3,4)\) [[input:ans5]] [[validation:ans5]][[feedback:prt5]]</p>
        <p>\( (2,\sqrt{21})\) [[input:ans6]] [[validation:ans6]][[feedback:prt6]]</p>
        <p>\( (-2\sqrt{6}, 1)\) [[input:ans7]] [[validation:ans7]][[feedback:prt7]]</p>
        <p>\( (1, 4)\) [[input:ans8]] [[validation:ans8]][[feedback:prt8]]</p>
        <p>\( (4, -4)\) [[input:ans9]] [[validation:ans9]][[feedback:prt9]]</p>
    </li>
</ol>]]></text>
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    <generalfeedback format="html">
      <text><![CDATA[<p></p>
<p>Consider the circle centre at the origin and of radius {@r1@}.</p>

<ol class="HELM_parts">
    <li>
        <p>\( x^2+y^2 = {@r1@}^2 = {@r1^2@}\) is the equation of the circle.</p>
    </li>

    <li>
        <table class="HELM_table">
            <thead>
                <tr>
                    <th scope="col">\[ (x,y) \]</th>
                    <th scope="col">\[ x^2+y^2 \]</th>
                    <th scope="col">conclusion</th>
                </tr>
            </thead>
            <tbody>
                <tr>
                    <td>\((5,0) \)</td>
                    <td>\( 25\)</td>
                    <td>on cirlce</td>
                </tr>
                <tr>
                    <td>\( (0,-5) \)</td>
                    <td>\( 25\)</td>
                    <td>on cirlce</td>
                </tr>
                <tr>
                    <td>\( (4,3) \)</td>
                    <td>\( 25\)</td>
                    <td>on cirlce</td>
                </tr>
                <tr>
                    <td>\( (-3,-4) \)</td>
                    <td>\( 25\)</td>
                    <td>on cirlce</td>
                </tr>
                <tr>
                    <td>\( (2,\sqrt{21}) \)</td>
                    <td>\( 25\)</td>
                    <td>on cirlce</td>
                </tr>
                <tr>
                    <td>\( (-2\sqrt{6},1) \)</td>
                    <td>\( 25\)</td>
                    <td>on cirlce</td>
                </tr>
                <tr>
                    <td>\( (1,4) \)</td>
                    <td>\( 17\)</td>
                    <td>inside cirlce</td>
                </tr>
                <tr>
                    <td>\( (4,-4) \)</td>
                    <td>\( 32\)</td>
                    <td>outside cirlce</td>
                </tr>
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    </li>

</ol>

<p>The following figure demonstrates some of the points</p>
<figure class="HELM_figure">
    <img src="@@PLUGINFILE@@/circle3.svg" alt="Image showing some of the points asked in the question" width="332" height="256" class="img-responsive atto_image_button_text-bottom"></figure>
<p>Note that the circle centre at the origin and of radius 1 has a special name <strong>the unit circle</strong>.</p>]]></text>
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      <text><![CDATA[r1: 5;
ta1: x^2+y^2 = (r1)^2;

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ta8:[[a,false,"The point lies on the circumference of the circle."], [b,true,"The point lies inside the circle."],[c,false,"The point lies outside the circle."]];

ta9:[[a,false,"The point lies on the circumference of the circle."], [b,false,"The point lies inside the circle."],[c,true,"The point lies outside the circle."]];]]></text>
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      <text>R= {@r1@}</text>
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        <expectedscore>1.0000000</expectedscore>
        <expectedpenalty>0.0000000</expectedpenalty>
        <expectedanswernote>prt4-1-T</expectedanswernote>
      </expected>
      <expected>
        <name>prt5</name>
        <expectedscore>1.0000000</expectedscore>
        <expectedpenalty>0.0000000</expectedpenalty>
        <expectedanswernote>prt5-1-T</expectedanswernote>
      </expected>
      <expected>
        <name>prt6</name>
        <expectedscore>1.0000000</expectedscore>
        <expectedpenalty>0.0000000</expectedpenalty>
        <expectedanswernote>prt6-1-T</expectedanswernote>
      </expected>
      <expected>
        <name>prt7</name>
        <expectedscore>1.0000000</expectedscore>
        <expectedpenalty>0.0000000</expectedpenalty>
        <expectedanswernote>prt7-1-T</expectedanswernote>
      </expected>
      <expected>
        <name>prt8</name>
        <expectedscore>1.0000000</expectedscore>
        <expectedpenalty>0.0000000</expectedpenalty>
        <expectedanswernote>prt8-1-T</expectedanswernote>
      </expected>
      <expected>
        <name>prt9</name>
        <expectedscore>1.0000000</expectedscore>
        <expectedpenalty>0.0000000</expectedpenalty>
        <expectedanswernote>prt9-1-T</expectedanswernote>
      </expected>
    </qtest>
    <qtest>
      <testcase>2</testcase>
      <description/>
      <testinput>
        <name>ans1</name>
        <value>x^2+y^2=36</value>
      </testinput>
      <testinput>
        <name>ans2</name>
        <value>first(mcq_incorrect(ta2))</value>
      </testinput>
      <testinput>
        <name>ans3</name>
        <value>first(mcq_incorrect(ta3))</value>
      </testinput>
      <testinput>
        <name>ans4</name>
        <value>first(mcq_incorrect(ta4))</value>
      </testinput>
      <testinput>
        <name>ans5</name>
        <value>first(mcq_incorrect(ta5))</value>
      </testinput>
      <testinput>
        <name>ans6</name>
        <value>first(mcq_incorrect(ta6))</value>
      </testinput>
      <testinput>
        <name>ans7</name>
        <value>first(mcq_incorrect(ta7))</value>
      </testinput>
      <testinput>
        <name>ans8</name>
        <value>first(mcq_incorrect(ta8))</value>
      </testinput>
      <testinput>
        <name>ans9</name>
        <value>first(mcq_incorrect(ta9))</value>
      </testinput>
      <expected>
        <name>prt1</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt1-1-F</expectedanswernote>
      </expected>
      <expected>
        <name>prt2</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt2-1-F</expectedanswernote>
      </expected>
      <expected>
        <name>prt3</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt3-1-F</expectedanswernote>
      </expected>
      <expected>
        <name>prt4</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt4-1-F</expectedanswernote>
      </expected>
      <expected>
        <name>prt5</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt5-1-F</expectedanswernote>
      </expected>
      <expected>
        <name>prt6</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt6-1-F</expectedanswernote>
      </expected>
      <expected>
        <name>prt7</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt7-1-F</expectedanswernote>
      </expected>
      <expected>
        <name>prt8</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt8-1-F</expectedanswernote>
      </expected>
      <expected>
        <name>prt9</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt9-1-F</expectedanswernote>
      </expected>
    </qtest>
  </question>
</quiz>
