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Chord Properties of Circles

The length of...

Question

The length of the chord of the circle $x^{2} + y^{2} + 4 x - 7 y + 12 = 0$ along the $y -$ axis is

1

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2

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\frac{1}{2}

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N o n e o f t h e s e

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Solution

The correct option is A $1$
Given circle is, $x^{2} + y^{2} + 4 x - 7 y + 12 = 0$
$\Rightarrow g = - 2, f = 7 / 2, c = 12$
Hence length of chord along y-axis is $= \sqrt{4 f^{2} - 4 c} = \sqrt{49 - 48} = 1$

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