The length of chord of circle $x^{2} + y^{2} + 6 x + 9 y + 8 = 0$ intercepted by $x$ axis is

1

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3

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4

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2

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Solution

The correct option is D $2$
$x^{2} + y^{2} + 6 x + 9 y + 8 = 0$
$x$ intercept is given by putting $y = 0$ ,
$x^{2} + 6 x + 8 = 0 \Rightarrow (x + 4) (x + 2) = 0 \Rightarrow x = - 2; x = - 4$
Lenght of the chord $= | - 2 - (- 4) | = 2$

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