Answer:
Lying outside the cirlce.
Explanation:
- Find the center and radius of the circle form the given equation.
(x - h)² + (y - k)²= r²
Here, (h ,k) is the center of the circle and r is the radius.
(x + 10)² + (y - 1)² = 25
r² = 25
r = √25
r = 5 units
- Now, substitute the point (-20 , 6) in the equation of the circle.
LHS = (-20 + 10)² + (6 - 1)²
= (-10)² + 5²
= 100+25
= 125 > 25
As 125 is greater than 25, the point (-20 ,6 ) is lying outside the circle.