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Question 9
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Find the coordinates of the point P which divides the join of A (–2, 5) and B(3, –5) in the ratio 2 : 3

Last updated at Nov. 22, 2018 by Teachoo

**
Question 9
**

Find the coordinates of the point P which divides the join of A (–2, 5) and B(3, –5) in the ratio 2 : 3

Transcript

Question 9 Find the coordinates of the point P which divides the join of A (โ2, 5) and B(3, โ5) in the ratio 2 : 3 Let coordinates of point P be P (x, y) Given that P divides AB in the ratio 2 : 3 Now, the formula is x = (๐_1 ๐ฅ_2 + ๐_2 ๐ฅ_1)/(๐_1 + ๐_2 ) y = (๐_1 ๐ฆ_2 + ๐_2 ๐ฆ_1)/(๐_1 + ๐_2 ) Here, m1 = 2 , m2 = 3 x1 = โ2 , x2 = 3 y1 = 5, y2 = โ5 x-coordinate x = (๐_1 ๐ฅ_2 + ๐_2 ๐ฅ_1)/(๐_1 + ๐_2 ) x = (2 ร 3 + 3 ร (โ2))/(2 + 3) x = (6 โ 6)/5 x = 0/5 x = 0 y-coordinate y = (๐_1 ๐ฆ_2 + ๐_2 ๐ฆ_1)/(๐_1 + ๐_2 ) y = (2 ร (โ5) + 3 ร 5)/(2 + 3) y = (โ10 + 15)/5 y = 5/5 y = 1 So, coordinates of point point P = (x, y) = (0, 1)

CBSE Class 10 Sample Paper for 2019 Boards

Paper Summary

Question 1

Question 2 (Or 1st)

Question 2 (Or 2nd)

Question 3 (Or 1st)

Question 3 (Or 2nd)

Question 4

Question 5

Question 6

Question 7 (Or 1st)

Question 7 (Or 2nd)

Question 8 (Or 1st)

Question 8 (Or 2nd)

Question 9 You are here

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16 (Or 1st)

Question 16 (Or 2nd)

Question 17 (Or 1st)

Question 17 (Or 2nd)

Question 18

Question 19 (Or 1st)

Question 19 (Or 2nd)

Question 20

Question 21 (Or 1st)

Question 21 (Or 2nd)

Question 22

Question 23 (Or 1st)

Question 23 (Or 2nd)

Question 24

Question 25

Question 26

Question 27 (Or 1st)

Question 27 (Or 2nd)

Question 28 (Or 1st)

Question 28 (Or 2nd)

Question 29

Question 30

Class 10

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.