find the ratio in which the line segment joining the points A(5,6) and B(-1,-4) is divided by y-axis. also find the coordinates of this point of division.
Answers
Step-by-step explanation:
With its higher resolution, this innovative lens made mobile photography possible. The Tessar lens allowed, for the first time, small film formats (nowadays sensors), which in turn helped make cameras themselves smaller, lighter and more portable. All compact camera lenses are based on that original invention!
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
Let the required ratio be m:n
here,x
1
=5,x
2
=−1,y
1
=−6,y
2
=−4
Then, According to question, we have ;
m+n
mx
2
+mx
1
=0
⇒m(−1)+n(5)=0
⇒5n=m
⇒m=5n
⇒
n
m
=
1
5
⇒m:n=5:1
Coordinate of the point of division
=(0,
m+n
my
2
+my
1
)
=(0,
6
5(−4)+1(−6)
)
=(0,
6
−20−6
)
=(0,
3
−13
)