The equation $a x^{2} + b y^{2} + 2 h x y + 2 g x + 2 f y + c = 0$ will represent a equation of circle if

a = b, h = 0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

a = b \neq 0, h = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

a = b \neq 0, h = 0, g^{2} + f^{2} - c > 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

a = b \neq 0, h = 0, g^{2} + f^{2} - a c > 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $a = b, h = 0$
The given equation will represent the equation of circle if $a = b$ and $h = 0$ .

Suggest Corrections

Similar questions

Q. The equation

a x^{2} + b y^{2} + 2 h x y + 2 g x + 2 f y + c = 0

will represent a circle, if

Q. The equation

a x^{2} + b y^{2} + 2 h x y + 2 g x + 2 f y + c = 0

will represent a circle, if

Q. If

a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c = 0

represents a pair of parallel lines, then

\sqrt{\frac{g^{2} - a c}{f^{2} - b c}} =

Q. The equation

a x^{2} + b y^{2} + 2 h x y + 2 g x + 2 f y + c = 0

will represent a circle, if

The square of distance between the point of intersection of the lines represented by the equation $a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c = 0$ and origin, is

Join BYJU'S Learning Program

The equation ax2+by2+2hxy+2gx+2fy+c=0 will represent a equation of circle if

The correct option is A a=b,h=0The given equation will represent the equation of circle if a=b and h=0.

The equation $a x^{2} + b y^{2} + 2 h x y + 2 g x + 2 f y + c = 0$ will represent a equation of circle if

The correct option is A $a = b, h = 0$
The given equation will represent the equation of circle if $a = b$ and $h = 0$ .