Question

write the co ordinate of the point p(x, y) which divides the line segment joining the point A(x, y) and (x2, y2) in the ratio m1:m2​

Answer 1

Step-by-step explanation:

internally in the ratio (m

1

:m

2

). (ie)

PB

AP

=

m

2

m

1

From the figure we know that \triangle AFP and \triangle PGB are similar.

PG

AF

=

BG

PF

=

PB

AP

=

m

2

m

1

Now take any two fractions,

PG

AF

=

m

2

m

1

⇒

x

2

−x

x−x

1

=

m

2

m

1

Doing Cross multiplication, x =

m

1

+m

2

m

1

x

2

+m

2

x

1

Then,

BG

PF

=

PB

AP

=

m

2

m

1

⇒

y

2

−y

y−y

1

=

m

2

m

1

Doing Cross multiplication, y =

m

1

+m

2

m

1

y

2

+m

2

y

1

solution

Answer By

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