web analytics

Ex 10.2, 20 - By using concept of equation of a line - Ex 10.2

Slide2.JPG
Slide3.JPG

  1. Chapter 10 Class 11 Straight Lines
  2. Serial order wise
Ask Download

Transcript

Ex 10.2, 20 By using the concept of equation of a line, prove that the three points (3, 0), (–2, –2) and (8, 2) are collinear. We need to prove that the three point (3, 0), (–2, –2), and (8, 2) are collinear i.e. these three points lie on the same line We check if (8, 2) lies on the line made by the points (3, 0) & (–2, –2) We know that equation of line passing through (x1, y1) & (x2, y2) (y – y1) = 𝑦2 − 𝑦1﷮𝑥2 − 𝑥1﷯(x – x1) Equation of line passing though (3, 0) & ( − 2, 2) (y – 0) = ( − 2 − 0)﷮( − 2 − 3)﷯ (x – 3) y = − 2﷮ − 5﷯ (x – 3) y = 2﷮5﷯(x − 3) 5y = 2x – 6 2x – 5y − 6 = 0 Since the three point lie on the same Then third point (8, 2) will satisfy the equation of line Putting x = 8, y = 2 in equation 2x − 5y − 6 = 0 2(8) − 5(2) − 6 = 0 16 − 10 − 6 = 0 0 = 0 which is true Hence point (8, 2) lie on line 2x − 5y − 6 = 0 Hence points (8, 2), (3, 0) & ( − 2, − 2) on the same line Hence (3, 0), ( − 2, − 2)& (8, 2) are collinear

About the Author

CA Maninder Singh's photo - Expert in Practical Accounts, Taxation and Efiling
CA Maninder Singh
CA Maninder Singh is a Chartered Accountant for the past 8 years. He provides courses for Practical Accounts, Taxation and Efiling at teachoo.com .
Jail