Question

find the ratio in which the x axis divides the line segment joining the points (5,-6) and (-1,2 ). also find the point of intersection ​

Answer 1

Answer:

Answer in explanation

Step-by-step explanation:

Let the line segment A(1,−5) and B(−4,5) is divided at point P(x, o) by axis in ratio m:n

∴x=

m+n

mx

2

+nx

1

and y=

m+n

my

2

+ny

1

Here, (x,y)=(x,o);(x

1

,y

1

)=(1,−5) and (x

2

,y

2

)=(−4,5)

So, 0=

m+n

m(5)+n(−5)

⇒o=5m−5n

⇒5m=5n

⇒

n

m

=

1

1

Hence, the ratio 1:1 and the division is internal.

Now,

x=

m+n

mx

2

+nx

1

⇒x=

1+1

1(−4)+1(1)

⇒x=

2

−3

Hence, the coordinates of the point of division is (

2

−3

,0)

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