Question

The centre of a circle is (2a, a - 7). Find the values of a if the circle passes through
(11,-9) and has diameter 10√2 units.​

Answer 1

Answer: 5,3

Step-by-step explanation:

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

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