Question

The radius of a circle with center (-2,3) is 5units.The point (2,5) lies on
a)on the circle
b)inside the circle
c)outside the circle
d)none of these
Answer in full explanation

Answer 1

Answer:

Radius of circle = 5 units

Centre of circle = (-2,3)

Point given = (2,5)

Distance between the points = $\tt{\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}}$

=> $\tt{\sqrt{(-2 - 2)^{2} + (3-5)^{2}}}$

=> $\tt{\sqrt{16+4}}$

=> $\tt{\sqrt{20}}$

=> $\tt{2\sqrt{5}}$

Since radius is more than the distance, the point lies:

(b) inside the circle

______________

Answer 2

Answer:

B) inside the circle

Step-by-step explanation:

by using distance formula

$\sqrt({2 - (- 2})) ^{2} + (5 - 3) {}^{2}$

so we get

$\sqrt{20}$

which is less than 5

so we can say that the point is inside the circle as the point less less than 5 units away from the center