Find the co-ordinates of the point of trisection of the line joining the points A(1,8) and B(4,2). please answer as quickly as possible with correct answer . Don't answer r…

Question

asked Jul 25, 2023 40.6k views

1 Answer

Jmorvan · Answer 1 · 2023-08-01T01:00:38+0000

coordinates of the point are (2,6) and (3,4)

Answer:

Solution given:

let the given point be A(1,8) and B(4,2).

P and Q are the two points on AB such that

AP=PQ=QB=k

now

comparing AP and PB

AP=k

PB=2k

ratio of AP and PB =
(1k)/(2k) = ratio 1:2

now

finding p

for this

(m_1,m_2)=(1,2)

For AB

(x_1,y_1)=(1,8)

(x_2,y_2)=(4,2)

now by using division formula

(x,y)=((m_1x_2+m_2x_1)/(m_1+m2),(m_1y_2+m_2y_1)/(m_1+m2))

=((1*4+2*1)/(1+2),(1*2+2*8)/(1+2))=(2,6)

similarly

Q divides AB

Ratio of AQ and QB =
(2k)/(1k) = ratio 2:1

(x_1,y_1)=(1,8)

(x_2,y_2)=(4,2)

(m_1,m_2)=(2,1)

by using division formula

(a,b)=((m_1x_2+m_2x_1)/(m_1+m2),(m_1y_2+m_2y_1)/(m_1+m2))

=((2*4+1*1)/(2+1),(2*2+1*8)/(2+1))=(3,4)