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3 votes
Which conic section is defined by the equation shown below?


x^2+y^2-10x-2y+10=0

A. Circle
B. Parabola
C. Hyperbola
D. Ellipse

User Chantheman
by
6.7k points

2 Answers

1 vote

Answer:

Circle

Explanation:

Which conic section is defined by the equation shown below? x^2+y^2-10x-2y+10=0 A-example-1
User Stoosh
by
6.6k points
4 votes

Answer:

circle

Explanation:

Given in the question an equation,

x² + y² - 10x - 2y + 10 = 0

The center-radius form of the circle equation is in the format

(x – h)² + (y – k)² = r²

Forming the standard equation into circle equation

x² + y² - 10x - 2y = -10

x² - 10x + y² - 2y = -10

(x² - 10x) + (y² - 2y) = -10

(x² - 10x + 25) + (y² - 2y + 4) = -10+25+4

(x-(-5))² + (y-(-2))² = √19²

(x+5)² + (y+2)² = √19²

User Gisli
by
6.7k points
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