Question

determine whether the point (0,0),(2,1),(4,3),(2,-6),(0,-1) lie inside outside or on the circle x²+y²-5x+2y-5=0​

Answer 1

Answer:

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.