<?xml version="1.0" encoding="UTF-8"?>
<quiz>
  <question type="multichoice">
    <name>
      <text>6.1.5 (Point on a circle)</text>
    </name>
    <questiontext format="moodle_auto_format">
      <text>Is the point \(P(2,1)\) on, inside or outside of the circle with equation \((x−2)^2 + (y+5)^2 =29? \)</text>
    </questiontext>
    <generalfeedback format="moodle_auto_format">
      <text><![CDATA[<p>Substituting \(P\) into the equation of the circle we have 
\[
(x−2)^2 + (y+5)^2 = (2-2)^2 + (1+ 5)^ 2 = 0 + 36 = 36 > 29.
\]
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>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
    <answer fraction="100" format="html">
      <text>P is outside the circle.</text>
      <feedback format="html">
        <text/>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text>P is inside the circle.</text>
      <feedback format="html">
        <text/>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text>P is on the circumference of the circle</text>
      <feedback format="html">
        <text/>
      </feedback>
    </answer>
  </question>
</quiz>
