Question

The points (a,5) and (9,b) are on the circle x^2+ y^2= 125.

What are the values of a and b. Explain.

Answer 1

a = 10

b = 6.633

Explanation:

x²+ y²= 125.

In this equation, the value of x and y represent the coordinates of x and y respectively of point on which the circle passes.

(a,5)

x²+ y²= 125

a² + 5² = 125

a² + 25 = 125

a² = 125-25

a² = 100

a = √100 = 10

(9,b)

x²+ y²= 125

9² + b² = 125

b² 125 - 81

b² = 44

b = √44 = 6.633