Question

Write the coordinates of the point dividing line segment joining points (2, 3) and (3, 4) internally in the ratio 1 : 5.

Answer 1

Let P( x , y)   be the point which divide the line segment joining A (2, 3) and B (3, 4) in the ratio 1: 5.

Now according to the section formula if point a point P divides a line segment joining` A( x_1 , y_ 1) ` and `B ( x_ 2 ,  y_ 2 )` in the ratio m: n internally than,`

`P ( x , y ) = ( ( nx_ 1 + mx _ 2 ) /( m  + n )  ,  ( ny_1  + my _ 2 ) /( m+ n ) )`

Now we will use section formula as,

`P ( x , y ) = ((5(2) + 3) /( 5 + 1) , ( 5 ( 3 ) + 4) /(4+1))`

            ` = (13/6 , 19/6)`

So co-ordinate of P is   ` = (13/6 , 19/6)`