<?xml version="1.0" encoding="UTF-8"?>
<quiz>
  <question type="multichoice">
    <name>
      <text>PT.6.1 (Point on a circle)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Is the point \(P(3,4)\) on, inside or outside of the circle with equation \((x−1)^2 + (y+2)^2 =30? \)</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p>Substituting \(P\) into the equation of the circle we have \[ (x−1)^2 + (y+2)^2 = (3-1)^2 + (4+2)^ 2 = 4 + 36 = 26 &lt; 30. \] Hence \(P\) is outside of the circle.</p>]]></text>
    </generalfeedback>
    <defaultgrade>1</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber/>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>none</answernumbering>
    <showstandardinstruction>0</showstandardinstruction>
    <correctfeedback format="html">
      <text><![CDATA[<p>Your answer is correct.</p>]]></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text><![CDATA[<p>Your answer is partially correct.</p>]]></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text><![CDATA[<p>Your answer is incorrect.</p>]]></text>
    </incorrectfeedback>
    <shownumcorrect/>
    <answer fraction="100" format="html">
      <text><![CDATA[<p>P is outside the circle.</p>]]></text>
      <feedback format="html">
        <text/>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<p>P is inside the circle.</p>]]></text>
      <feedback format="html">
        <text/>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<p>P is on the circumference of the circle</p>]]></text>
      <feedback format="html">
        <text/>
      </feedback>
    </answer>
  </question>
</quiz>
