LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
in Straight Lines by (50.8k points)
closed by

If the three points A(h, k), B(x1, y1) and C(x2, y2) lie on a line then show that (h – x1)(y2 – y1) = (k – y1)(x2 – x).

1 Answer

+1 vote
by (52.3k points)
selected by
Best answer

For the lines to be in a line, the slope of the adjacent lines should be the same.

Given points are A(h,k),B(x1,y1) and C(x2,y2)

So slope of AB = BC = CA

Hence proved.

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.