Answer:
The possible co-ordinates of the point Q are (0,5) and (0,17).
Step-by-step explanation:
Given:
P is a point (8,11)
Q is point on y-axis
PQ = 10 units
To find co-ordinates of point Q.
Solution:
Any point on y-axis is given as as
at y-axis.
Let the point Q be =
We use the distance formula to find length of PQ.
By distance formula:
The distance between two points and
is given as:
Thus, for the point P(8,11) and Q(0,) the distance PQ can be given as:
Substituting PQ=10 units.
Squaring both sides.
Subtracting both sides by 64.
Taking square root both sides.
So, we have two equations to solve:
and
Adding both sides.
and
and
Subtracting both sides by 6 for one equation and adding 6 both sides for the other equation.
and
∴ and
Thus, the possible co-ordinates of the point Q are (0,5) and (0,17).