#### Question

Does the point (–2.5, 3.5) lie inside, outside or on the circle *x*^{2} + *y*^{2} = 25?

#### Solution

The equation of the given circle is *x*^{2} + *y*^{2} = 25.

*x*^{2} + *y*^{2} = 25

⇒ (*x *– 0)^{2} + (*y* – 0)^{2} = 5^{2}, which is of the form (*x* – *h*)^{2} + (*y* – *k*)^{2} = *r*^{2}, where *h* = 0, *k* = 0, and *r* = 5.

∴Centre = (0, 0) and radius = 5

Distance between point (–2.5, 3.5) and centre (0, 0)

Since the distance between point (–2.5, 3.5) and centre (0, 0) of the circle is less than the radius of the circle, point (–2.5, 3.5) lies inside the circle.

Is there an error in this question or solution?

Solution Does the Point (–2.5, 3.5) Lie Inside, Outside Or on the Circle X2 + Y2 = 25? Concept: Concept of Circle.