Fewpal
+2 votes
1.6k views
in Mathematics by (127k points)
edited by
Find a relation between x and y if the points (x, y), (1, 2) and (7, 0) are collinear.

1 Answer

+2 votes
by (9.9k points)
selected by
 
Best answer

Solution: If given points are collinear then area of triangle formed by them must be zero.

Or, ½ [x1(y2 – y3) + x2 (y3 – y1) + x3 (y1 – y2)] = 0

Or, ½ [x(2 – 0) + 1 (0 – y) + 7( y – 2)] = 0

Or, 2x – y + 7y – 14 = 0

Or, 2x + 6y – 14 = 0

Or, x + 3y – 7 = 0

The last equation gives the relation between x and y.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...