Question

find the coordinates of the point which divides the line segment join the point (4,-3) and(8,5) in the ratio 3:1 internally.​

Answer 1

Answer:

The points (4,-3) & (8,5) internally ratio be 3:1 . Let point C = C(x,y) divide the given line AB in the ratio 3:1 . Thus, The co-ordinate of point C will be (7,3)

Step-by-step explanation:

We are given,

(x

1

,y

1

)=(4,−3) & 1(x

2

,y

2

)=(8,5)

Let (x,y)coordinates which divides the line joining the point (x

1

,y

1

)

and (x

2

,y

2

) in ratio m:n=3:1 internally.

So,(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

=(

3+1

3(8)+1(4)

,

3+1

3(5)+1(−3)

)

=(

4

28

,

4

12

)

(x,y)=(7,3)

please GUSSA MTT HO

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Answer 2

Let P(x,y) be the point which divides the line segment internally. Using the section formula for the internal division, i.e. Here, m1 = 3, m2 = 1 (x1, y1) = (4, -3) and (x2, y2) = (8, 5) Putting the above values in the above formula, we get ⇒ x = 7, y = 3 Hence, (7,3) is the point which divides the line segment internally.Read more on Sarthaks.com - https://www.sarthaks.com/960843/find-the-coordinates-point-which-divides-the-line-segment-joining-points-ratio-internally