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Intercept Made by Circle on Axes

The length of...

Question

The length of intercept, the circle $x^{2} + y^{2} + 10 x - 6 y + 9 = 0$ makes on the x-axis is

A

2

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B

4

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C

6

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D

8

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Solution

The correct option is D 8
Comparing the given equation with $x^{2} + y^{2} + 2 g x + 2 f y + c = 0,$ we get g = 5
$∴$ Length of intercept on x-axis = $2 \sqrt{g^{2} - c}$
$= 2 \sqrt{(5)^{2} - 9} = 8.$

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