Analytical Geometry

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{"QuestionId":34455,"QuestionText":"What is the radius of a circle if the point (5, 2) lies on a circle centered at (10, 6). Round your answer to the nearest hundredth.","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":null,\"SubType\":null,\"CorrectAnswerFormat\":null,\"AnswerDisplayFormat\":[\"\"],\"AnswerType\":null}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":"5","Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"6.40","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":null,"Opt2":null,"Opt3":null,"Opt4":null,"QuestionId":34455},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":34455,"SubTopicId":4101,"SubTopic":{"SubTopicId":4101,"SubTopicDesc":"Distance between two points","Hint":null,"SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TGeoA","TopicTopicDesc":"Analytical Geometry","IsToolbar":false,"DisplayFormat":"{\"bgColor\":\"white\",\"IsQAtogether\":false,\"IsImage\":null,\"IsGraph\":null,\"IsTable\":null,\"ToolbarType\":{\"type\":\"simple\",\"ToolbarList\":[\"\"]}}","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":"white","IsQAtogether":false,"IsImage":null,"IsGraph":null,"IsTable":null,"ToolbarType":{"type":"simple"}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null},"ImageData":null,"GraphData":"{\"type\":\"mathjs\", \"data\": [ {\"points\":[[5,2],[10,6] ], \"fnType\": \"points\", \"graphType\": \"polyline\" }],\"xScale\":[-15, 15],\"color\":\"green\",\"fnType\":\"points\" ,\"showCoordinates\":true,\"showMidPtCoOrdinates\":false, \"showMidpoint\":false,\"CoOrdinateTexts\":[[\"5,2\"],[\"10,6\"] ]}","TableData":null,"AnswerFormatJsonDto":{"Type":null,"SubType":null,"CorrectAnswerFormat":null,"AnswerDisplayFormat":[""],"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}

{"QuestionId":34505,"QuestionText":"What is the midpoint of the line segment with the given endpoints?","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":\"FIB\", \"SubType\":\"MultiTextBox\",\t\"CorrectAnswerFormat\":\"{0};{1}\", \"AnswerDisplayFormat\":[\"x=\",\"y=\"] }\t","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":null,"Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"0;8","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":null,"Opt2":null,"Opt3":null,"Opt4":null,"QuestionId":34505},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":34505,"SubTopicId":4102,"SubTopic":{"SubTopicId":4102,"SubTopicDesc":"Midpoint formula ","Hint":null,"SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TGeoA","TopicTopicDesc":"Analytical Geometry","IsToolbar":false,"DisplayFormat":"{\"bgColor\":\"white\",\"IsQAtogether\":null,\"IsImage\":null,\"IsGraph\":null,\"IsTable\":null,\"ToolbarType\":{\"type\":null,\"ToolbarList\":[\"\"]}}","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":"white","IsQAtogether":null,"IsImage":null,"IsGraph":null,"IsTable":null,"ToolbarType":{"type":null}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null},"ImageData":null,"GraphData":"{\"type\":\"mathjs\", \"data\": [ {\"points\":[[-9,7],[9,9] ], \"fnType\": \"points\", \"graphType\": \"polyline\" }],\"xScale\":[-14, 14],\"color\":\"green\",\"fnType\":\"points\" ,\"showCoordinates\":true,\"showMidPtCoOrdinates\":false, \"showMidpoint\":true,\"CoOrdinateTexts\":[[-9,7],[\"9\",\"9\"] ]}","TableData":null,"AnswerFormatJsonDto":{"Type":"FIB","SubType":"MultiTextBox","CorrectAnswerFormat":"{0};{1}","AnswerDisplayFormat":["x=","y="],"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}

{"QuestionId":34555,"QuestionText":"What is the area of the parallelogram having coordinates of altitude as (-2,-5)?","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":null,\"SubType\":null,\"CorrectAnswerFormat\":null,\"AnswerDisplayFormat\":[\"\"],\"AnswerType\":null}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":null,"Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"90","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":null,"Opt2":null,"Opt3":null,"Opt4":null,"QuestionId":34555},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":34555,"SubTopicId":4103,"SubTopic":{"SubTopicId":4103,"SubTopicDesc":"Area on the co-ordinate plane","Hint":"Round your answer to nearest unit wherever necessary.","SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TGeoA","TopicTopicDesc":"Analytical Geometry","IsToolbar":false,"DisplayFormat":"{\"bgColor\":\"white\",\"IsQAtogether\":null,\"IsImage\":null,\"IsGraph\":null,\"IsTable\":null,\"ToolbarType\":{\"type\":null,\"ToolbarList\":[\"\"]}}","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":"white","IsQAtogether":null,"IsImage":null,"IsGraph":null,"IsTable":null,"ToolbarType":{"type":null}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null},"ImageData":null,"GraphData":"{\"type\":\"mathjs\", \"data\":[{\"points\":[[-10,-5],[-2,4],[8,4],[0,-5] ,[-10,-5],[-2,-5],[-2,4]],\"fnType\": \"points\", \"graphType\": \"polyline\" }],\"xScale\":[-12,12],\"color\":\"green\",\"fnType\":\"points\" ,\"showCoordinates\":true,\"showMidpoint\":false,\"CoOrdinateTexts\":[[-10,-5],[-2,4],[8,4],[0,-5],[\"\"]]}","TableData":null,"AnswerFormatJsonDto":{"Type":null,"SubType":null,"CorrectAnswerFormat":null,"AnswerDisplayFormat":[""],"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}

{"QuestionId":34605,"QuestionText":"In what ratio is the line joining the points (3,6) and (-5,8) divided by x-axis? ","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":\"MultiChoice\",\"SubType\":\"RadioButton\",\"CorrectAnswerFormat\":null,\"AnswerDisplayFormat\":[\"\"],\"AnswerType\":null}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":null,"Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"3:4","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":"3:4","Opt2":"4:3","Opt3":"-3:4","Opt4":"-4:3","QuestionId":34605},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":34605,"SubTopicId":4104,"SubTopic":{"SubTopicId":4104,"SubTopicDesc":"Line equation and section formula","Hint":null,"SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TGeoA","TopicTopicDesc":"Analytical Geometry","IsToolbar":false,"DisplayFormat":"{\"bgColor\":\"white\",\"IsQAtogether\":null,\"IsImage\":null,\"IsGraph\":null,\"IsTable\":null,\"ToolbarType\":{\"type\":null,\"ToolbarList\":[\"\"]}}","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":"white","IsQAtogether":null,"IsImage":null,"IsGraph":null,"IsTable":null,"ToolbarType":{"type":null}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null},"ImageData":null,"GraphData":"{\"type\":\"mathjs\", \"data\": [ {\"points\":[[3,6],[-5,8] ], \"fnType\": \"points\", \"graphType\": \"polyline\" }],\"xScale\":[-10, 10],\"color\":\"green\",\"fnType\":\"points\" ,\"CoOrdinateTexts\":[[3,6],[-5,8]],\"\":false}","TableData":null,"AnswerFormatJsonDto":{"Type":"MultiChoice","SubType":"RadioButton","CorrectAnswerFormat":null,"AnswerDisplayFormat":[""],"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}

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