Answer:
Option A is correct.
Step-by-step explanation:
Given equation of circle in standard form is ( x - 4 )² + ( y - 2 )² = 9
We need to find the equation of circle in general form.
To solve the equation in general form we use following identity,
(a - b)² = a² + b² - 2ab
Consider,
( x - 4 )² + ( y - 2 )² = 9
( x² + 4² - 2(x)(4) ) + ( y² + 2² - 2(y)(2) ) = 9
x² + 4² - 8x + y² + 2² - 4y = 9
x² + y² + 16 - 8x + 4 - 4y = 9
x² + y² - 8x - 4y + 16 + 4 - 9 = 0
x² + y² - 8x - 4y + 11 = 0
Therefore, Option A is correct.
