a circle has its centre at the origin and a radius of root 12 .state wether each of the following point is on,outside or inside the circle(1,-root 17),(3,5),(2,2root 2)
Consider the figure,
1) Here, we need to find that the point lie inside the circle, on the circle or outside it.
For this, use the distance formula; .
Here, calculate the distance between the origin and the point . So,
Substituting the above values in the distance formula, we get
As, , so point lies outside the circle.
2) Here, we need to find that the point lie inside the circle, on the circle or outside it.
For this, use the distance formula; .
Here, calculate the distance between the origin and the point . So,
Substituting the above values in the distance formula, we get
As, , so point lies outside the circle.
3) Here, we need to find that the point lie inside the circle, on the circle or outside it.
For this, use the distance formula; .
Here, calculate the distance between the origin and the point . So,
Substituting the above values in the distance formula, we get
As, , so point lies on the circle.
1) Here, we need to find that the point lie inside the circle, on the circle or outside it.
For this, use the distance formula; .
Here, calculate the distance between the origin and the point . So,
Substituting the above values in the distance formula, we get
As, , so point lies outside the circle.
2) Here, we need to find that the point lie inside the circle, on the circle or outside it.
For this, use the distance formula; .
Here, calculate the distance between the origin and the point . So,
Substituting the above values in the distance formula, we get
As, , so point lies outside the circle.
3) Here, we need to find that the point lie inside the circle, on the circle or outside it.
For this, use the distance formula; .
Here, calculate the distance between the origin and the point . So,
Substituting the above values in the distance formula, we get
As, , so point lies on the circle.