Answer:
x² + y² - 8x -14y - 105 = 0
Explanation:
The centre of the circle is (-7,0) and the radius is (4,7) . Firstly let's find the radius using Distance formula .
=> D = √{ (-7-4)²+(0-7)²}
=> D = √ 11² + 7²
=> D = √ 121 +49
=> D = √170
Now using the standard equation of circle ⭕ ,
=> ( x - h)²+(y-k)² = r²
=> ( x - 4)²+(y-7)²= (√170)²
=> x² + 16 -8x + y² + 49 -14y = 170
=> x² + y² -8x -14y = 170 -65
=> x² + y² - 8x -14y - 105 = 0
• Hence the equation of circle is x² + y² - 8x -14y - 105 = 0 .