Question

The equation $a{x}^2+b{y}^2+2hxy+2gx+2fy+c=0$ will represent a circle, if

• A. a = b = 0 and c = 0
• B. f = g and h = 0
• C. a = b ≠ 0 and h = 0
• D. f = g and c = 0

Answer 1

The correct option is C a = b ≠ 0 and h = 0

We know that the equation $a{x}^2+b{y}^2+2hxy+2gx+2fy+c=0$ will represent a circle, if a = b ≠ 0 and h = 0
It is a fundamental concept.