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Intercept Made by Circle on Axes

The length of...

Question

The length of X and Y intercepts made by the circle $x^{2} + y^{2} - 10 x + 6 y + 9 = 0$ is and respectively.

0.0

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Solution

The correct options are
A 0.0
D 8
On comparing the given equation with the standard equation of a circle, we get:
g = -5, f = 3 and c = 9
$X - intercept = 2 \sqrt{g^{2} - c} = 2 \sqrt{25 - 9} = 8 and Y - intercept = 2 \sqrt{f^{2} - c} = 2 \sqrt{9 - 9} = 0$

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