Question

If A and B are (-2,-2) and (2,-4) respectively,then find the coordinates of P such that AP=3/7AB and P lies on the line segment AB.​
answer with explanation

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Answer 1

Explanation:

in this question we have to use internal division formula.

it is given that the point P lies on the line segment AB and divide it internally in the ratio 3:7.

to find the coordinate of P we take

x = 7×(-2) + 3×(2)/3+7

= -8/10

= -4/5

y = 7×(-2) + 3×(-4)/3+7

= -26/10

= -13/5

Answer 2

Explanations

ANSWER

Given coordinates of point A(−2,−2) and B(2,−4) and point P divided AB as AP=

7

3

AB

Then BP=

7

4

AB

So point P divided AB in ratio 3:4

m=3 and n=4

Using Section formula, coordinates of point P are

[x=(

m+n

mx

1

+nx

2

)] and [y=(

m+n

my

1

+ny

2

)]

A(−2,−2)≡(x

2

,y

2

) and B(2,−4)≡(x

1

,y

1

)

P=(

3+4

3×2−2×4

,

3+4

−4×32×4

)=(

7

6−8

,

7

−12−8

)=(−

7

2

,−

7

20

)