ramkrishnaneupane59
Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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 randomly ​

Sagot :

msm555

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 =[tex]\frac{1k}{2k}[/tex]= ratio 1:2

now

finding p

for this

[tex](m_1,m_2)=(1,2)[/tex]

For AB

[tex](x_1,y_1)=(1,8)[/tex]

[tex](x_2,y_2)=(4,2)[/tex]

now by using division formula

[tex](x,y)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})[/tex]

[tex]=(\frac{1*4+2*1}{1+2},\frac{1*2+2*8}{1+2})=(2,6)[/tex]

similarly

Q divides AB

Ratio of AQ and QB =[tex]\frac{2k}{1k}[/tex]= ratio 2:1

[tex](x_1,y_1)=(1,8)[/tex]

[tex](x_2,y_2)=(4,2)[/tex]

[tex](m_1,m_2)=(2,1)[/tex]

by using division formula

[tex](a,b)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})[/tex]

[tex]=(\frac{2*4+1*1}{2+1},\frac{2*2+1*8}{2+1})=(3,4)[/tex]

View image msm555
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.