Question

I solve.
The point Q divides segment joining A(3,5)
and B(7,9) in the ratio 2:3 . Find thex-co-ordinates of Q​

Answer 1

Answer:

23/5,33/5

Step-by-step explanation:

x

1

=3,y

1

=5,m

1

=2

x

2

=7,y

2

=9,m

2

=3

Let point P(x,y) divides the line segment joining the points A(3,5) and B(7,9) in the ratio 2:3 internally.

By the formula of internal division.

x=

m

1

+m

2

m

1

x

2

+m

2

x

1

=

2+3

(2)(7)+(3)(3)

=

5

14+9

=

5

23

=4

5

3

and

y=

m

1

+m

2

m

1

y

2

+m

2

y

1

=

2+3

(2)(9)+(3)(5)

=

5

18+15

=

5

33

=6

5

3

Hence, the co-ordinates of P is (4

5

3

,6

5

3

)

solution

Answer 2

A(3,5)    B(7,9)   2:3

a(3,5)                        b(7,9)                        2:3  

3=x1                            7=x2                       m:n

5=y1                             9=y2

p(mx2+nx1/m+n , my2+ny1/m+n)

p(2(7)+3(3)/2+3 , 2(9)+3(5)/2+3)

p(14+9/5 , 18+15/5)

p(23/5 , 33/5)