The length of the chord of the circle $x^{2} + y^{2} + 3 x + 2 y - 8 = 0$ intercepted by the y-axis is.

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Solution

The correct option is B 3
Comparing with general equation of circle, $g = \frac{3}{2}, f = 1, c = - 8$
Thus length of intercept of y-axis $= 2 \sqrt{f^{2} - c} = 2 \sqrt{1 + 8} = 2 \cdot 3 = 6$
( Directly use the formula )

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