$A B$ is a chord to a circle with Centre $O .$ $X$ and $Y$ are points on the circumference of the circle. Lines are drawn connecting $A$ and $B$ with $O, X$ and $Y .$ Match the following on the basis of angles made by $A$ and $B .$

$I - (a), I I - (c), I I I - (b)$

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$I - (c), I I - (a), I I I - (b)$

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$I - (a), I I - (b), I I I - (c)$

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$I - (b), I I - (c), I I I - (a)$

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Solution

The correct option is D
$I - (b), I I - (c), I I I - (a)$

Here, $A B$ is the given chord, $A X B$ is the major arc and $A Y B$ is the minor arc.

Therefore,

$∠ A X B$ is the angle the chord makes at the major arc of the circle,

$∠ A Y B$ is the angle the chord makes at the minor arc of the circle and

$∠ A O B$ is the angle the chord makes at the centre of the circle.

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AB is a chord to a circle with Centre O. X and Y are points on the circumference of the circle. Lines are drawn connecting A and B with O, X and Y. Match the following on the basis of angles made by A and B.

$A B$ is a chord to a circle with Centre $O .$ $X$ and $Y$ are points on the circumference of the circle. Lines are drawn connecting $A$ and $B$ with $O, X$ and $Y .$ Match the following on the basis of angles made by $A$ and $B .$