Question

The center of a circle is (29,a-7). Find the value of a' if the circle passes through the point (11,-9) and has
diameter 10√2 units.​

Answer 1

Answer:. a=3,5

Step-by-step explanation:

I think the diameter is not only.√2

here the diameter is 10√2

then radius =5√2

√(2a-11)²+(a-7+9)²=5√2

(2a-11)²+(a+2)²=(5√2)²

4a²-44a+121+a²+4a+4=50

5a²-40a+75=0

a²-8a+15=0

(a-3)(a-5)=0

a=3,5