Question

2. What is the center of the circle (x - 5)2 + (y + 3)2 = 49?
A. (5,3)
B.(-5,3)
C. (5,-3)
D.(-5,-3)​

Answer 1

Answer:

(-5, 3) is the corect answer for the follwing question

Answer 2

Answer:

Step-by-step explanation:

(x-5)² +(y+3)² =49

x² +25 -10x + y² +9 + 6y =49

x² +y² + 6y -10x =15

x² - 10 x +(y²+6y -15) =0 -----------(1)

using quadratic formula D= b² -4ac = 0

  (100 - 4*1*(y²+6y -15) = 0

=100 = 4(y² +6y -15)

=25 = y² +6y -15

= 0 = y² +6y - 40

0 = y² +10y -4y -40

0 = (y+10)(y-4)

therefore y = -10 (or ) 4

only for y = -10 or 4 the above eqn (1) =0 satisfies

therefore the option is none of the above