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Question

In the given figure,

O is the centre of the circle and X, Y and Z are points on circumferemce of the circle such that XZY=23o. Then XOY is

A
23o
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B
24o
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C
30o
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D
46o
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Solution

The correct option is D 46o
We know: The angle subtended by an arc at the center of the circle is double the angle subtended by the same arc at any point of rest part of circumference of the circle.

So, in the given figure

Minor arc XY is subtending XZY at the major arc XY of the circle and XOY at the centre of the circle, so
XOY=2XZY
XOY=2×23o
XOY=46o

Hence, option (d) correct.

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