The general second-degree equation ax^2 + by^ | vedclass

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(C) The general equation of a second-degree curve is given by $ax^2 + by^2 + 2hxy + 2gx + 2fy + c = 0$. For this equation to represent a circle,the fo

Vedclass · Accepted Answer

$a = b 
eq 0$ and $h = 0$

Vedclass · Answer

(C) The general equation of a second-degree curve is given by $ax^2 + by^2 + 2hxy + 2gx + 2fy + c = 0$. For this equation to represent a circle,the following conditions must be satisfied: $1$. The coefficient of $x^2$ must be equal to the coefficient of $y^2$,i.e.,$a = b$. $2$. The coefficient of $xy$ must be zero,i.e.,$h = 0$. $3$. The coefficients $a$ and $b$ must not be zero $(a = b 
eq 0)$. Therefore,the correct condition is $a = b 
eq 0$ and $h = 0$.

The general second-degree equation $ax^2 + by^2 + 2hxy + 2gx + 2fy + c = 0$ represents a circle if:

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