what are the coordinates of a point which lies on x - axis at a distance of 5 units from y axis to the left of the origin
Answers
Answer:
(0,-5)
Explanation:
Given,
A point lies on the x-axis at a distance of 5 units from the y-axis to the left of the origin .
To find,
The coordinates of the given point.
Solution,
We can simply solve this mathematical problem using the following process:
Mathematically,
a) Any point on the X-axis will always have its y-coordinate equal to 0, and vice-versa.
b) If a point is at "a" units distant from the Y-axis, then the x-coordinate of that point is equal to "a", and vice-versa.{Statement-1}
Now, according to the question;
The given point lies on the x-axis
=> the y-coordinate of the given point is equal to 0.
{according to statement-1 (a)}
And, according to the question;
The given point lies at a distance of 5 units from the y-axis to the left of the origin.
=> the x-coordinate of the point is equal to (-5)
{the value is negative since the point lies to the left of the origin}
{according to statement-1 (b)}
So, from the above conclusions, we get;
The coordinates of the given point are equal to (-5,0).
Hence, the coordinates of the given point are equal to (-5,0).