Ex 7.2, 5 - Find ratio in which A(1, -5) and B(-4, 5) - Finding ratio

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

Transcript

Ex 7.2 , 5 Find the ratio in which the line segment joining A(1, 5) and B( 4, 5) is divided by the x axis. Also find the coordinates of the point of division. Now, we have to find ratio Let ratio be k : 1 Hence, m1 = k , m2 = 1 x1 = 1 , y1 = 5 x2 = 4 , y2 = 5 Also, x = x , y = 0 Using section formula y = ( _1 _2+ _2 _1)/( _1+ _2 ) 0 = ( 5 +1 5)/( +1) 0 = (5 5)/( +1) 0(k + 1)= 5k 5 0 = 5k 5 5k 5 = 0 5k = 5 k = 5/5 k = 1 Hence, k = 1 Now, we need to find x also x = ( 1 2 + 2 1)/( 1 + 2) = ( 4 +1 1)/( +1) = (1 4 +1 1)/(1 +1) = ( 4 +1)/2 = ( 3)/2 Hence the coordinate of point is P(x, 0) = P(( 3)/2, 0)

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.