First slide

Definition of a circle

Question

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

Moderate

A

1
B

2
C

$1 / 2$
D

none of these

Solution

Required length =y intercept $= 2 \sqrt{\frac{9}{4} - 2} = 1$

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