Math, asked by tyagigeeta425, 14 hours ago

Find the ratio in which the point P( 3, 4) divides the line segment joining A(1,2) and B(6,7).​

Answers

Answered by kuprachijha760
0

Answer:

Correct option is

B

1:5

We know that by section formula, the co-ordinates of the points which divide internally the line segment joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n is

P(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

Let point P divide AB in the ratio 1:k

Then, by section formula,

(

4

3

,

12

5

)≡

k+1

k(

2

1

)+1(2)

,

k+1

k(

2

3

)+1(−5)

Equating x and y coordinates, we get

k+1

k/2+2

=

4

3

,

k+1

3k/2−5

=

12

5

⇒2k+8=3k+3,18k−60=5k+5

⇒k=5

Hence P divides AB in the ratio 1:5

solution

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