Question

2. Find the ratio in which the line segment joining the points (-5,9) and (9,6) is divided by (4,-6).​

Answer 1

Answer:

Using the section formula, if a point (x,y) divides the line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

Let the ratio bem:n

m+n

my

2

+ny

1

=0

Here, x

1

=3,y

1

=−3, x

2

=−2,y

2

=7

⇒

m+n

7m−3n

=0

⇒7m−3n=0

⇒7m=3n

⇒

n

m

=

7

3

⇒m:n=3:7,

Now,

m+n

mx

2

+nx

1

=

3+7

3(−2)+7(3)

=

10

−6+21= 23

∴ Coordinate of the point of division=(

23,0)

Step-by-step explanation:

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Answer 2

Answ(5-60) (3-78)=679

Step-by-step explanation:

Answer was correct, But step is Diffrent I hope You All  will Understand :D