Question

The ratio in which (4,5)divides the join of (2,4) and (7,8) is
a.-2:3
b.- 3:2
c.3:2
d. 2:3​

Answer 1

Answer:

go for it

Step-by-step explanation:

ANSWER

The point given is P(4,5).

Given A(2,3) and B(7,8)

Let P divides the line segment joining the points (2,3) and (7,8) in the ratio m:1

The coordinates of P=(

m+1

mx

2

+x

1

,

m+1

my

2

+y

1

)

⇒(4,5)=(

m+1

7m+2

,

m+1

8m+3

)

On comparing both the sides, we get

m+1

7m+2

=4

⇒7m+2=4m+4

⇒7m−4m=4−2

⇒3m=2

⇒m=

3

2

Therefore, P(4,5) divides the line segment joining two points A and B in the ratio 2:3 externally.

Answer 2

Answer:

D) 2:3 is the answer.....