Question

the coordinates of the point which divides the line joining of (2,4) and (3,2) externally in the ratio 1:3 ​

Answer 1

Answer:

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Step-by-step explanation:

The coordinates of point when (x

1

,y

1

) and (x

2

,y

2

) are divided in m:n

(i) internally is (

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

(ii) externally (

m−n

mx

2

−nx

1

,

m−n

my

2

−ny

1

)

Let the point be P(h,k)

(1) For internal division

h=

2+3

2(4)+3(−1)

=

5

5

=1

k=

2+3

2(−5)+3(2)

=

5

−4

⇒P(1,

5

−4

)