Question

find the co-ordinates of the points on the y-axis, which are at a distance of 10 units from the point (-8,4)​

Answer 1

Answer:

(0,−2) or (0,10)

Step-by-step explanation:

Let the required point be (0,y)

∴10^2=(0+8)^2 + (4−y)^2

∴100=64 + 16+y^2 −8y

∴16+y^2-8y=36

∴y^2 −8y−20=0

∴y^2−10y+2y−20=0

∴y(y−10)+2(y−10)=0

∴y=−2 or y=10

∴ Coordinate of the required point be

(0 ,−2) or (0,10)