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Answered by
1
Tthe coordinatinates cuts y- axis
i. e. ; -x1:x2
: -1:4
use section formula to get answer
the ratio 1:4
mx2+nx1/m+n
(1×4+4×1/1+4,1×6+4×5/1+4)
(8/5,26/5)
i. e. ; -x1:x2
: -1:4
use section formula to get answer
the ratio 1:4
mx2+nx1/m+n
(1×4+4×1/1+4,1×6+4×5/1+4)
(8/5,26/5)
Answered by
3
Answer:
(0,13)
Step-by-step explanation:
The co-ordinates of the midpoint of the line joining (1,5) and (4,6) are:
(1 + 4/2, 5 + 6/2) ≡ (2.5, 5.5).
Let the coordinates of the point of intersection of the perpendicular bisector of the line segment joining the two points be (0,h).
∴ Gradient of perpendicular bisector = (5.5 - h)/(2.5 - 0) = 5.5 - h/(2.5).
∴ Slope of the line segment = (5 - 6)/1 - 4
= 1/3.
As the bisector is perpendicular to the line segment then,
⇒ (5.5 - h/2.5) * (1/3) = -1
⇒ 5.5 - h = -7.5
⇒ -h = -13
⇒ h = 13.
Therefore, the perpendicular bisectors cuts the y-axis at (0,13).
Hope it helps!
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