Question

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

Answer 1

Answer:

By given

" " ...(i) <br> [

distance between two points

<br> Given that , length of diameter

<br>

Length of radius

<br>

<br> Put this value in Eq. (i) , we get <br>

<br> Squaring on both sides , we get <br>

<br>

<br>

<br>

<br>

" " [by factorisation metghod] <br>

<br>

<br>

<br> Hence , the required values of a are 5 and 3.