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

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

#### 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 = 2/3in each case

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

Concept: Coordinate Geometry
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#### APPEARS IN

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