// Numbas version: exam_results_page_options
{"name": "Identificar el centro y radio de una Circunferencia ....", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Identificar el centro y radio de una Circunferencia ....", "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p></p>\n<p>Dada la ecuaci&oacute;n de la circunferencia $\\simplify{(x-{a})^2+(y-{b})^2={rs}}$.</p>\n<p></p>", "advice": "<p>La ecuaci&oacute;n de la circunferencia con el radio $ r $ y el centro $ (a, b) $ es $ (x-a) ^ 2 + (y-b) ^ 2 = r ^ 2 $.</p>\n<ul>\n<li>Esto significa que la parte superior de la c&iacute;rcunferencia estar&aacute; en el punto $P (a, b + r) $.</li>\n<li>Esto significa que la parte inferior de la c&iacute;rcunferencia estar&aacute; en el punto $ Q(a, b-r) $.</li>\n<li>Esto significa que el extremo izquierdo de la c&iacute;rcunferencia estar&aacute; en el punto $ R(a-r, b) $.</li>\n<li>Esto significa que el extremo derecho de la c&iacute;rcunferencia estar&aacute; en el punto $ S(a + r, b) $.</li>\n</ul>\n<p></p>\n<p></p>\n<p></p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"r": {"name": "r", "group": "Ungrouped variables", "definition": "random(1..12)", "description": "", "templateType": "anything", "can_override": false}, "rs": {"name": "rs", "group": "Ungrouped variables", "definition": "r^2", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(-12..12 except 0)", "description": "", "templateType": "anything", "can_override": false}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "random(-12..12)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "r", "rs"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Completa los espacios:La ecuaci&oacute;n $\\simplify{(x-{a})^2+(y-{b})^2={rs}}$ es la ecuaci&oacute;n de la circunferencia con radio&nbsp;[[0]]&nbsp; y centro el punto $\\large($ [[1]],&nbsp;[[2]]$\\large)$.&nbsp;</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{r}", "maxValue": "{r}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{a}", "maxValue": "{a}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{b}", "maxValue": "{b}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>La informaci&oacute;n anterior nos permite encontrar f&aacute;cilmente cuatro puntos de la circunferencia:</p>\n<ul>\n<li>La parte superior de la circunferencia est&aacute; en el punto. $\\large($[[0]],&nbsp;[[1]]$\\large)$</li>\n<li>La parte inferior de la circunferencia est&aacute; en el punto $\\large($[[2]],&nbsp;[[3]]$\\large)$</li>\n<li>El extremo izquierdo de la circunferencia est&aacute; en el punto $\\large($[[4]],&nbsp;[[5]]$\\large)$</li>\n<li>El extremo derecho de la circunferencia est&aacute; en el punto $\\large($[[6]],&nbsp;[[7]]$\\large)$</li>\n</ul>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 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