Advertisement Remove all ads

In What Ratio Does the Point C (4,5) Divides the Join of a (2,3) and B (7,8) ? - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

In what ratio does the point C (4,5) divides the join of A (2,3)  and B (7,8) ?

Advertisement Remove all ads

Solution

Let the required ratio be k : 1

Then, by section formula, the coordinates of C are

`c((7k+2)/(k+1) , (8k+3)/(k+1))`

Therefore,

`(7k+2)/(k+1) =4 and (8k+3)/(k+1) =5              [∵C (4,5) is given]`

`⇒7k + 2 =4k + 4 and 8k +3=5k +5 ⇒ 3k =2`

`⇒ k = 2/3`in each case

So, the required ratio is `2/3 `: 1 , which is same as 2 : 3.

Concept: Coordinate Geometry
  Is there an error in this question or solution?

APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 16

Video TutorialsVIEW ALL [2]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×