Find coordinates of the points of trisection of the line segment joining the points A(6,5) and B(4,-3)
Answers
Answer:
The coordinates of point of intersection are (-2,3) and (1,0)
Step-by-step explanation:
Given the coordinates of line segment A(-5,6) and B(4,-3) we have to find the coordinates of trisection of line segment.
Let C(a,b) and D(x,y) are the points which trisect the line segment i.e
AC=CD=DB
By mid point formula,
The coordinates of point C and D respectively
\begin{gathered}(\frac{-5+x}{2},\frac{6+y}{2})=(a,b)\\\\(\frac{a+4}{2},\frac{b-3}{2})=(x,y)\end{gathered}
(
2
−5+x
,
2
6+y
)=(a,b)
(
2
a+4
,
2
b−3
)=(x,y)
∴ \begin{gathered}\frac{-5+c}{2}=a,\frac{6+d}{2}=b\\\\\frac{4+a}{2}=c,\frac{-3+b}{2}=d\end{gathered}
2
−5+c
=a,
2
6+d
=b
2
4+a
=c,
2
−3+b
=d
Solving above equations, we get
a=-2, b=3 and x=1, y=0
Hence, the coordinates of point of intersection are (-2,3) and (1,0)
Answer:
Answer:
To,
The Principal,
ABC English Medium School,
Delhi-110001
From:
___________(Name)
ABC English Medium School,
Delhi-110001
Subject: A request to provide study certificate to enable me to join a computer course.
I ________(Name) of your school,of _____(class & section) is writing this letter to request you to provide me a study certificate which enables me to take a computer course.
.......Thank you.......
Yours's sincerely.
_____(Name)