$P$ is a point on a circle with centre $O$ . If $P$ is equidistant from the two radii $O A$ and $O B$ , Is $a r c A P = a r c B P$ .

True

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False

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Ambiguous

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Data insufficient

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Solution

The correct option is A True
Given,
$P$ is equidistant from $O A$ and $O B$
$∴ P$ is the mid point of arc $A B$
$∴$ Arc AP=Arc BP

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P is a point on a circle with centre O. If P is equidistant from the two radii OA and OB, Is arc AP=arc BP.

The correct option is A TrueGiven,P is equidistant from OA and OB∴P is the mid point of arc AB∴ Arc AP=Arc BP

$P$ is a point on a circle with centre $O$ . If $P$ is equidistant from the two radii $O A$ and $O B$ , Is $a r c A P = a r c B P$ .

The correct option is A True
Given,
$P$ is equidistant from $O A$ and $O B$
$∴ P$ is the mid point of arc $A B$
$∴$ Arc AP=Arc BP