Question

The point P(–2, 4) lies on a circle of radius 6 and centre C(3, 5).

Options

• True

• False

Answer 1

This statement is False.

Explanation:

If the distance between the centre and any point is equal to the radius, then we say that point lie on the circle.

Now, distance between P(–2, 4) and centre (3, 5)

d = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

= `sqrt((3 + 2)^2 + (5 - 4)^2`

= `sqrt(5^2 + 1^2)`

= `sqrt(25 + 1)`

= `sqrt(26)`

Which is not equal to the radius of the circle.

Hence, the point P(–2, 4) does not lies on the circle.