// Numbas version: exam_results_page_options
{"name": "Identificar una ecuaci\u00f3n de la circunferencia en forma est\u00e1ndar o general ...", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Identificar una ecuaci\u00f3n de la circunferencia en forma est\u00e1ndar o general ...", "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p><strong>&iquest;Cu&aacute;les de las siguientes ecuaciones representa una circunferencia?</strong></p>\n<p><strong>Puede marcar varias opciones</strong></p>", "advice": "<p></p>\n<p></p>\n<p>La ecuaci&oacute;n est&aacute;ndar de una c&iacute;rcunferencia es $ (x-a)^2 + (y-b)^2 = r^2 $. Representa un c&iacute;rculo de radio $r$ con el centro $ (a, b) $.</p>\n<p>Si se escribe una ecuaci&oacute;n en la forma $ cx^2+dx+ey^ 2+fy+g = 0 $, donde $ c, d, e, f, g $ son n&uacute;meros, podr&iacute;a ser una circunferencia, pero podr&iacute;a ser otra cosa (por ejemplo, una elipse, una hip&eacute;rbola o incluso un gr&aacute;fico vac&iacute;o). Si los coeficientes de $ x^2 $ y $ y^2 $ son los mismos, entonces la ecuaci&oacute;n es una circunferencia. Estos valores son los mismos que nos permiten dividir por ese coeficiente y comenzar a completar el cuadrado para obtener la ecuaci&oacute;n en la forma est&aacute;ndar de la circunferencia.</p>", "rulesets": {}, "extensions": [], "variables": {"ccx": {"name": "ccx", "group": "Ungrouped variables", "definition": "random(-12..12 except 0)", "description": "", "templateType": "anything"}, "rs": {"name": "rs", "group": "Ungrouped variables", "definition": "repeat(random(1..60),6)", "description": "", "templateType": "anything"}, "bx": {"name": "bx", "group": "Ungrouped variables", "definition": "random(-6..6)", "description": "", "templateType": "anything"}, "ccy": {"name": "ccy", "group": "Ungrouped variables", "definition": "random(-12..12)", "description": "", "templateType": "anything"}, "ymult": {"name": "ymult", "group": "Ungrouped variables", "definition": "random(1..12 except xmult)", "description": "", "templateType": "anything"}, "ax": {"name": "ax", "group": "Ungrouped variables", "definition": "random(1..6)", "description": "", "templateType": "anything"}, "by": {"name": "by", "group": "Ungrouped variables", "definition": "random(-6..6)", "description": "", "templateType": "anything"}, "ay": {"name": "ay", "group": "Ungrouped variables", "definition": "random(1..6 except ax)", "description": "", "templateType": "anything"}, "xmult": {"name": "xmult", "group": "Ungrouped variables", "definition": "random(1..12)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["rs", "ccx", "ccy", "xmult", "ymult", "ax", "bx", "ay", "by"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "checkbox", "displayColumns": "1", "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "choices": ["<p>$\\simplify[all]{(x-{ccx})^2+(y-{ccy})^2={rs[0]}}$</p>", "<p>$\\simplify[all]{x^2+(y-{ccy})^2={rs[1]}}$</p>", "<p>$\\simplify[all]{(x-{ccx})^2={rs[2]}}$</p>", "<p>$\\simplify[all]{{xmult}(x-{ccx})^2+{ymult}(y-{ccy})^2={rs[3]}}$</p>", "<p>$\\simplify[all]{{ax}x^2+{bx}x+{ax}y^2+{by}y={rs[4]}}$</p>", "<p>$\\simplify[all]{{ax}x^2+{bx}x+{ay}y^2+{by}y={rs[5]}}$</p>", "<p>$\\simplify[all]{x^2+{bx}x-y^2+{by}y={rs[5]}}$</p>"], "matrix": ["1", "1", 0, 0, "1", 0, 0], "distractors": ["", "", "This is the equation of two vertical  parallel lines", "This is the equation of an ellipse", "", "This is the equation of an ellipse", "This is the equation of a hyperbola"]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}