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"preamble": {"js": "", "css": ""}, "tags": [], "parts": [{"customMarkingAlgorithm": "", "sortAnswers": false, "scripts": {}, "prompt": "<p>The equation $\\simplify{(x-{a})^2+(y-{b})^2={rs}}$ is the equation of a circle with radius&nbsp;[[0]]&nbsp; centred at the point $\\large($ [[1]],&nbsp;[[2]]$\\large)$.&nbsp;</p>", "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "type": "gapfill", "showFeedbackIcon": true, "marks": 0, "unitTests": [], "gaps": [{"customMarkingAlgorithm": "", "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "{r}", "mustBeReducedPC": 0, "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "type": "numberentry", "showFeedbackIcon": false, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "allowFractions": false, "minValue": "{r}", "unitTests": [], "correctAnswerFraction": false, "variableReplacements": [], "mustBeReduced": false}, {"customMarkingAlgorithm": "", "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "{a}", "mustBeReducedPC": 0, "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "type": "numberentry", "showFeedbackIcon": false, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "allowFractions": false, "minValue": "{a}", "unitTests": [], "correctAnswerFraction": false, "variableReplacements": [], "mustBeReduced": false}, {"customMarkingAlgorithm": "", "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "{b}", "mustBeReducedPC": 0, "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "type": "numberentry", "showFeedbackIcon": false, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "allowFractions": false, "minValue": "{b}", "unitTests": [], "correctAnswerFraction": false, "variableReplacements": [], "mustBeReduced": false}], "variableReplacements": []}, {"customMarkingAlgorithm": "", "sortAnswers": false, "scripts": {}, "prompt": "<p>The above information allows us to find four points of the circle easily:</p>\n<ul>\n<li>The top of the circle is at the point&nbsp;$\\large($[[0]],&nbsp;[[1]]$\\large)$</li>\n<li>The bottom&nbsp;of the circle is at the point&nbsp;$\\large($[[2]],&nbsp;[[3]]$\\large)$</li>\n<li>The far left&nbsp;of the circle is at the point&nbsp;$\\large($[[4]],&nbsp;[[5]]$\\large)$</li>\n<li>The far right&nbsp;of the circle is at the point&nbsp;$\\large($[[6]],&nbsp;[[7]]$\\large)$</li>\n</ul>", "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "type": "gapfill", "showFeedbackIcon": true, "marks": 0, "unitTests": [], "gaps": [{"customMarkingAlgorithm": "", "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "{a}", "mustBeReducedPC": 0, "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "type": 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