Given Three Collinear Points PQ And R List All The Class 8 Maths CBSE

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AnswerQuestion Answers for Class 12Class 12 BiologyClass 12 ChemistryClass 12 EnglishClass 12 MathsClass 12 PhysicsClass 12 Social ScienceClass 12 Business StudiesClass 12 EconomicsQuestion Answers for Class 11Class 11 EconomicsClass 11 Computer ScienceClass 11 BiologyClass 11 ChemistryClass 11 EnglishClass 11 MathsClass 11 PhysicsClass 11 Social ScienceClass 11 AccountancyClass 11 Business StudiesQuestion Answers for Class 10Class 10 ScienceClass 10 EnglishClass 10 MathsClass 10 Social ScienceClass 10 General KnowledgeQuestion Answers for Class 9Class 9 General KnowledgeClass 9 ScienceClass 9 EnglishClass 9 MathsClass 9 Social ScienceQuestion Answers for Class 8Class 8 ScienceClass 8 EnglishClass 8 MathsClass 8 Social ScienceQuestion Answers for Class 7Class 7 ScienceClass 7 EnglishClass 7 MathsClass 7 Social ScienceQuestion Answers for Class 6Class 6 ScienceClass 6 EnglishClass 6 MathsClass 6 Social ScienceQuestion Answers for Class 5Class 5 ScienceClass 5 EnglishClass 5 MathsClass 5 Social ScienceQuestion Answers for Class 4Class 4 ScienceClass 4 EnglishClass 4 MathsGiven three collinear points $ P,Q $ and $ R $ . List all the line segments determined by these points. A. $ \overline {PQ} $ B. $ \overline {PR} $ C. $ \overline {RQ} $ D. All of the aboveAnswerVerified585.3k+ viewsHint: In order to deal with this question we will use the concept that a line is the set of points between and beyond two points. A line is infinite in length. All points on a line are collinear points so we will obtain all the possible line segments from given points $ P,Q $ and $ R $ .Complete step-by-step answer:Given points are $ P,Q $ and $ R $ As we know that Three points \[A,{\text{ }}B\] and $ C $ are said to be collinear if they lie on the same straight line.There points \[A,{\text{ }}B\] and $ C $ will be collinear if \[AB{\text{ }} + {\text{ }}BC{\text{ }} = {\text{ }}AC\], \[BA{\text{ }} + {\text{ }}AC{\text{ }} = {\text{ }}BC\]as is clear from the adjoining figure.In general, three points \[A,{\text{ }}B\] and $ C $ are collinear if the sum of the lengths of any two line segments among $ AB,BC $ and $ CA $ is equal to the length of the remaining line segment.And Line is the set of points between and beyond two points. A line is infinite in length. All points on a line are collinear points.Here from the figure we have observed thatFrom point $ P $ and $ Q $ , a line segment is formed as $ \overline {PQ} $ Similarly, from point $ Q $ and $ R $ , a line segment is formed as $ \overline {RQ} $ And , from point $ P $ and $ R $ , a line segment is formed as $ \overline {PR} $ Therefore, The line segments determined by three collinear points $ P $ , $ Q $ and $ R $ are $ \overline {PQ} $ $ \overline {RQ} $ $ \overline {PR} $ because at least two points from a line segment which are collinear.Hence the correct answer is option D.Note: In general, three points \[A,{\text{ }}B\] and $ C $ are collinear if the sum of the lengths of any two line segments among $ AB,BC $ and $ CA $ is equal to the length of the remaining line segment, that is, either \[AB{\text{ }} + {\text{ }}BC{\text{ }} = {\text{ }}AC\] or \[AC{\text{ }} + CB{\text{ }} = {\text{ }}AB\] or \[BA{\text{ }} + {\text{ }}AC{\text{ }} = {\text{ }}BC\]. Throughout geometry, a set of points' collinearity is the property of their being lying on a single side. A set of points is said to be collinear, with this property. More generally , the term was used for objects in alignment, that is, items being "in a line" or "in a row".Recently Updated PagesMaster Class 8 Social Science: Engaging Questions & Answers for SuccessMaster Class 8 Maths: Engaging Questions & Answers for SuccessMaster Class 8 Science: Engaging Questions & Answers for SuccessClass 8 Question and Answer - Your Ultimate Solutions GuideMaster Class 8 English: Engaging Questions & Answers for SuccessWhy are manures considered better than fertilizers class 11 biology CBSEMaster Class 8 Social Science: Engaging Questions & Answers for SuccessMaster Class 8 Maths: Engaging Questions & Answers for SuccessMaster Class 8 Science: Engaging Questions & Answers for SuccessClass 8 Question and Answer - Your Ultimate Solutions GuideMaster Class 8 English: Engaging Questions & Answers for SuccessWhy are manures considered better than fertilizers class 11 biology CBSE

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