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Equation of Circle with (h,k) as Center

The radius of...

Question

The radius of circle $x^{2} + y^{2} - 6 x - 8 y = 0$

A

5

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B

4

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C

3

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D

2

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Solution

The correct option is D 5
The radius of circel $x^{2} + y^{2} - 6 x - 8 y = 0$ is $\sqrt{g^{2} + f^{2} - c}$
Here $g = - 3, f = - 4, c = 0 ⟹ r = \sqrt{(- 3)^{2} + (- 4)^{2}} \sqrt{9 + 16} = \sqrt{25} = 5$

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