Question

The ratio in which the point (4,0) divides the line segment joining the
points (4, 6) and (4-8) is​

Answer 1

Step-by-step explanation:

here is ur answer

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Answer 2

The required ratio is 3: 4

Given:

Point (4,0) divides the line segment joining points (4, 6) and (4-8)

To find:

The ratio in which the point divides the line segment  

Solution:

Formula used:    

P(x, y) = [ mx₂+nx₁ /(m+n),  my₂+ny₁/(m+n) ]  

Where, P(x, y) divides the line segment joining the points A (x₁, y₁) and B(x₂, y₂) in m: n ratio.

From the data,

Point (4,0) divides the line segment joining points (4, 6) and (4-8)

Let a: b be the ratio  

By using the formula,

=> (4, 0) = [ a(4) +b(4)/(a+b),  a(-8)+b(6)/(a+b) ]  

=> (4, 0) = [ 4a + 4b/(a+b),  -8a +6b /(a+b) ]  

=>  -8a +6b /(a+b) = 0

=>  -8a +6b = 0  

=>  8a = 6b  

=>  a/b = 6/8

=> a/b = 3/4

 

Therefore,

The required ratio is 3: 4

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