Question

Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0.

Answer 1

The general form of the equation of a circle is,

x² + y² + Dx + Ey + F = 0, where D, E, F are constants.

The given equation is 7x² + 7y² − 28x + 42y − 35 = 0. So, to convert this equation into a general form we just need to get rid of the leading coefficient 7.

Hence, divide both sides of the equation by 7. So,

$\frac{7x^2+ 7y^2-28x + 42y-35}{7} =0$

x² + y² − 4x + 6y − 5=0.

So, the general form of the equation is x² + y² − 4x + 6y − 5=0.