Which coordinate pair identifies the center of the circle represented by 4x2 + 4y2 − 16x − 24y + 36 = 0. A) (2, 3) B) (3, 2) C) (0, 0) D) (−3, 2)

Answer Find out the which coordinate pair identifies the center of the circle represented by 4x² + 4y² − 16x − 24y + 36 = 0. To proveThe general equation of the circle is(x - h)² + (y - k)² = r²Where h,k are the centre and r is the radius. 4x² + 4y² − 16x − 24y + 36 = 0Divided both side by 4. x² + y² − 4x − 6y + 9= 0 Add and subtract 4 and 9 x² + y² − 4x − 6y + 4 -4 +9 - 9 +9= 0     x² + y² − 4x − 6y + 4 -4 + 9 - 9 +9= 0     x² + 4 - 2× 2 × x + y² + 9 - 2 × 3 × y = 9 + 4 - 9using the formula ( a + b )² = a² + b² +2ab(x - 2)² +  (y - 3)² = 2²Compare this with the general equation of circle.Thush = 2 , k = 3Option A is correct .