Question

20) Find
find the
cordinates of the points
which divide the live segment joining
A (2,-3) and b (-4,-6) into four
equal parts​

Answer 1

Answer:

Let P & Q be the points of trisection. Then AP:PB=1:2 & AQ:QB=2:1

(i) Let P divides AB in ratio 1:2

Hence m

1

=1;m

2

=2;x

1

=2;y

1

=−3;x

2

=−4,y

2

=−6

P(x,y)=P(

m

1

+m

2

m

1

x

2

+m

2

x

1

,

m

1

+m

2

m

1

y

2

+m

2

y

1

)=P(

1+2

1(−4)+2(2)

,

1+2

1(−6)+2(−3)

)

=P(

3

−4+4

,

3

−6−6

)=P(0,0)

(ii) Let Q divides AB in ratio 2:1

Here m

1

=2,m

2

=1,x

1

=2,y

1

=−3,x

2

=−4,y

2

=−6

=Q(

2+1

2(−4)+1(2)

,

2+1

2(−6)+1(−3)

)

=Q(

3

−8+2

,

3

−12−3

)

=Q(−2,−5)

∴ Hence the coordinates of points of trisection are (0,0) & (−2,−5).

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