Check sibling questions

Slide27.JPG

Slide28.JPG
Slide29.JPG

Solve all your doubts with Teachoo Black (new monthly pack available now!)


Transcript

Example 6 Find the coordinates of the point which divides the line segment joining the points (4, – 3) and (8, 5) in the ratio 3 : 1 internally. Let the given points be A(4, −3) & B(8, 5) Let the point be P(x, y) which divides AB in ratio 3 : 1 Finding x x = (𝑚1 𝑥2 + 𝑚2 𝑥1)/(𝑚1 + 𝑚2) Where, m1 = 3, m2 = 1 x1 = 4, x2 = 8 Putting values x = (3 × 8 + 1 ×4)/(3 + 1) x = (24 + 4)/4 x = 28/4 x = 7 Finding y y = (𝑚1 𝑦2 + 𝑚2 𝑦1)/(𝑚1 + 𝑚2) Where, m1 = 3, m2 = 1 y1 = −3, y2 = 5 Putting values y = (3 × 5 + 1 ×−3)/(3 +1 ) y = (15 − 3 )/4 y = (12 )/4 y = 3 Hence x = 7, y = 3 So, the required point is P(x, y) = P(7, 3)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.