Example 8 - Find coordinates of points of trisection - Examples

  1. Chapter 7 Class 10 Coordinate Geometry
  2. Serial order wise
Ask Download

Transcript

Example 8 Find the coordinates of the points of trisection (i.e., points dividing in three equal parts) of the line segment joining the points A(2, 2) and B( 7, 4). Let the given points be A(2, 2) & B( 7, 4) P & Q are two points on AB such that AP = PQ = QB Let k = AP = PQ = QB Hence comparing AP & PB AP = m PB = PQ + QB = k + k Hence, Ratio between AP & PB = AP/PB = /2 = 1/2 Thus P divides AB in the ratio 1:2 Finding P Let P(x, y) Hence, m1 = 1 , m2 = 2 And for AB x1 = 2 , x2 = 2 y1 = 7 , y2 = 4 Hence, point P is P(x, y) = P( 1, 0) Similarly, Point Q divides AB in the ratio AQ & QB = / = ( + )/ = ( + )/ = 2 / = 2/1 = 2 : 1 Finding Q Let Q be Q(x, y) m1 = 2 , m2 = 1 x1 = 2 , x2 = 2 y1 = 7 , y2 = 4 Hence, point Q is Q(x, y) = Q( 4, 2)

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.