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To Find Collinearity of Points When three or more than three points lie on a same line, then they are called collinear points. To show collinearity of three points say P, Q and R, find PQ, QR and PR, then show that sum of two shorter lengths is equal to largest length. ie., PQ + QR = PR or PQ + PR = QR or PR + QR = PQ Otherwise, the points are non-collinear. %3D Example 3. Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear. [NCERT]

To Find Collinearity of Points When three or more than three points lie on a same line, then they are called collinear points. To show collinearity of three points say P, Q and R, find PQ, QR and PR, then show that sum of two shorter lengths is equal to largest length. ie., PQ + QR = PR or PQ + PR = QR or PR + QR = PQ Otherwise, the points are non-collinear. %3D Example 3. Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear. [NCERT]

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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To Find Collinearity of Points When three or more than three points lie on a same line, then they are called collinear points. To show collinearity of three points say P, Q and R, find PQ, QR and PR, then show that sum of two shorter lengths is equal to largest length. ie., PQ + QR = PR or PQ + PR = QR or PR + QR = PQ Otherwise, the points are non-collinear. %3D Example 3. Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear. [NCERT]
Transcribed Image Text:To Find Collinearity of Points When three or more than three points lie on a same line, then they are called collinear points. To show collinearity of three points say P, Q and R, find PQ, QR and PR, then show that sum of two shorter lengths is equal to largest length. ie., PQ + QR = PR or PQ + PR = QR or PR + QR = PQ Otherwise, the points are non-collinear. %3D Example 3. Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear. [NCERT]
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