If g-2 - f-2 - c- then the equation x-2 - y-2 - 2gx - 2fy - c - 0 will representA circle of radius g-A circle of radius f-A circle of diameter -c-A circle of radius 0

The correct option is D A circle of radius 0Radius of given circle = √(g^2 + f^2 c) g^2 + f^2 c (given), ∴ Radius = 0. ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Obtaining Centre and Radius of a Circle from General Equation of a Circle

If g^2 + f^2 ...

Question

If $g^{2} + f^{2} = c,$ then the equation $x^{2} + y^{2} + 2 g x + 2 f y + c = 0$ will represent

A circle of radius g

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

A circle of radius f

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

A circle of diameter $\sqrt{c}$

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

A circle of radius 0

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

Open in App

Solution

Suggest Corrections

Similar questions

g^{2} + f^{2} = c,

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

Which of the following equations represents a circle with centre $(g, f)$ and radius $\sqrt{g^{2} + f^{2} + c}$ ?

g^{2} < c < f^{2}

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

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

The centre and radius of the circle $x^{2} + y^{2} + 2 g x + 2 y f + c = 0$ are and respectively.

Join BYJU'S Learning Program