Question

Does the point (3,-4) lies inside, outside or on the circle
${x}^{2} + {y}^{2} = 25$
​

Answer 1

Step-by-step explanation:

The equation of the given circle is x

2

+y

2

=25

⇒ Centre =(0,0) and radius =5

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

=

(−2.5−0)

2

+(3.5−0)

2

=

6.25+12.25

=

18.5

=4.3(approx)<5

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

Hence the point (−2.5,3.5) lies inside the circle.