Question

The coordinate of the point who divides the line segment joining the point (4.- 3) and (8,5) is(7,3) in what ratio it divides the line internally..​

Answer 1

Step-by-step explanation:

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Answer 2

Given: (7,3) divides the points (4,-3) and (8,5) internally

To find: The ratio in which (7,3) divides them

Explanation: Let the ratio be k:1.

Here, x1=4,y1=-3, x2= 8 and y2= 5

Now, Point is given by:

(x,y) = (kx2+x1)/k+1, (ky2+y1)/k+1

=(k*8+4)/k+1 , (k*5-3)/k+1

= 8k+4/k+1 , 5k-3/k+1

Now, comparing the above point with (7,3):

For x coordinate,

8k+4/k+1= 7

=> 8k+4 = 7(k+1)

=> 8k+4 = 7k+7

=> k = 3

For y coordinate,

5k-3/k+1= 3

=> 5k-3= 3(k+1)

=> 5k-3 = 3k+3

=>2k= 6

=> k= 3

For both cases, k=3

Therefore, (7,3) divides the line segment joining the points (4,-3) and (8,5) in the ratio 3:1.