Question

find the ratio in which the point p x ,2 divides the lines segment joining the point a 12,5 b4,_3 find x also.5 the midmoint of the line segement joing the (20,4) and (-2,36) is (1,2a+1) find the values of a and b ​

Answer 1

Step-by-step explanation:

Coordinate of point P by mid point formula,

We have mid point formula,

P(X,Y)=(

2

x

1

+x

2

,

2

y

1

+y

2

)

⇒(

2

−10−2

,

2

4+0

)=(−6,2)

let the ratio be m:n

Then,

m+n

mx

2

+nx

1

=−6

⇒

m+n

m(−4)+n(−9)

=−6

⇒−4m−9n=−6m−6n

⇒2m=3n

⇒

n

m

=

2

3

The raitio =m:n=3:2

Now, ⇒

m+n

my

2

+ny

1

=2

⇒

2+3

3y+2(−4)

=2⇒3y−8=10

⇒y=

3

18

=6