Question

X-axis divides the line segment formed joining the points A(3, 7) and B(4, –3) in the ratio of​

Answer 1

Answer:

Thus x-axis  divides the line segment into ratio 7:3

Step-by-step explanation:

Let the x-axis divides line segment in m:1 ratio

Points are A(3,7) and B(4,-3)

The coordinates of the point at axis are

[( m*4+1*3) /(m+1) , {  m*(-3) +(1*7) }/(m+1)]

at x axis y=0

So y coordinate=0

or  {  m*(-3) +(1*7) }/(m+1)]=0

-3m+7=0

-3m=-7

m=7/3

Thus x-axis  divides the line segment into ratio 7:3

Answer 2

Answer:

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Step-by-step explanation:

Let Ratio be K : 1 and Point P(x,0) Which divides the line segment in This ratio because point lies on x - axis so y will become 0

Now, using Section formula,

P(x,0) = (4k + 3) / (K + 1), (-3k + 7) / k + 1

Now, Equate (y) coordinates

0 = (-3k + 7) / k + 1

-3k + 7 = 0

-3k = -7

k = 7/3

So ratio is,

7 : 3