Homer wants to identify the center and radius of the circle defined by the equation x +y2 - 14x + 2y-25 = 0. He follows these steps: Step 1: (x-14x) + (y + 2y) 25 Step 2: (x-14x+ 49) +(y + 2y+1) 25 Step 3: (x- 7) +(y+ 1) 25 Step 4: The center is (7,-1), and the radius is 5. At which step did Homer make a mistake, and what was it?

Q: Consider the following equation of a circle written in expanded form. x² + y² + 4x+10y = - 4 Whic…

A:

Q: - If the equation px² + (2−q)xy + 3y² − 6qx +3 e presents a circle then find the values of pand q.

A: Let the equation of the circle be           x2+y2+2gx+2fy+c=0        .....(1)If eq (1) passes…

Q: Derive the standard equation of a circle if its general equation is x² + y² - 10x - 6y + 14 = 0.…

A:

Q: For the equation of the circle (x-10)2+(y+2)2=34 Please explain why the point (5,1) is on the…

A:

Q: What is the center and radius for the equation (x - 4)² + (y + 6)² = 81 ?

A:

Q: Give the center and radius of the circle whose standard form is (x+8)2 + (y-7)2=50

A:

Q: Graph the circle from the standard form (x+4)2 + (y+ 2)2 25.

A: Equation of a circle is : x - h2 + y -k2 = r2where;centre→ (h, k)radius →r

Q: Write the equation of circle with the following characteristics: Center at (1,7) and the circle has…

A: Given:- center (1,7) and area lf circle is 25π  To find:- Equation of circle with given conditions

Q: the equation of the circle having the points (2,10) and (-8,-14) the ends of its diameter.

A: As the equation of circle having (h, k) and radius r is given by (x-h)2 + (y-k)2 = r2

Q: The center of the circle (x-2)²+(x +5) = 9 is

A: given,        x-22+x+52=9

Q: Write the equation of a circle with center (15. 12) and radius 3V6. x+ 15) • (y • 12 = 54 x - 15 +…

A: