If g2-f2-c- then the equation x2-y2-2 g x-2 f y-c-0 will representA- A circle of radius gB- A circle of radius fC- A circle of diameter - c D- 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. ...

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

If g2+f2=c, t...

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

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A circle of radius f

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A circle of diameter $\sqrt{c}$

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A circle of radius 0

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Solution

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Similar questions

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

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

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

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

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.

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