Ex 7.2, 1 - Find coordinates of point which divides join - Section Formula- Finding coordinates

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

Transcript

Ex 7.2, 1 Find the coordinates of the point which divides the join of ( 1, 7) and (4, 3) in the ratio 2 : 3. Let the given points be A( 1, 7) & B(4, 3) Let the point be P(x , y) which divides AB in ratio 2:3 Here, x = ( _1 _2+ _1 _1)/( _1+ _2 ) Where, m1 = 2 , m2 = 3 x1 = 1 , x2 = 4 Hence, putting values x = (2 4 +3 1)/(2 + 3) x = (8 3)/5 x = 5/5 x = 1 Now, finding y y = ( _1 _2+ _2 _1)/( _1+ _2 ) Where, m1 = 2 , m2 = 3 x1 = 7 , x2 = 3 Hence, putting values y = (2 3 + 3 7)/(2 + 3) y = ( 6 + 21 )/5 y = 15/5 y = 3 Hence x = 1, y = 3 So, the required point is P(x, y) = P(1 , 3)

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.