Question

Points (a,5) and (9,b) are on the circle x²+y²=125 What are the values of a and b?

Answer 1

The values of a are 10 and -10, and the values of b are 2√11 and -2√11.

Step-by-step explanation:

To find the values of a and b, we can substitute the given coordinates into the equation of the circle. Let's start with the point (a,5):

(a)² + 5² = 125

a² + 25 = 125

a² = 100

a = ±10

So, the values of a are 10 and -10.

Now, let's substitute the other given point (9,b) into the equation:

9² + b² = 125

81 + b² = 125

b² = 44

b = ±√44

b = ±2√11

Therefore, the values of b are 2√11 and -2√11.