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Standard X

Mathematics

Number of Tangents Drawn from a Given Point

Draw a circle...

Question

Draw a circle with center $O$ and radius $6$ cm. Take a point $P$ outside the circle at a distance of $10$ cm from $O$ . Draw tangents to the circle from point $P$ . Let the tangents intersect the circle in points $A$ and $B$ . Find the approximate value of $∠ B O P$ in degrees.

37^{o}

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53^{o}

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45^{o}

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None of these

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Solution

The correct option is B $53^{o}$
$∠ B O P = 53^{o}$ (measurement)

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Draw a circle with center O and radius 6cm. Take a point P outside the circle at a distance of 10 cm from O. Draw tangents to the circle from point P. Let the tangents intersect the circle in points A and B. Find the approximate value of ∠BOP in degrees.

The correct option is B 53o∠BOP=53o (measurement)

Draw a circle with center $O$ and radius $6$ cm. Take a point $P$ outside the circle at a distance of $10$ cm from $O$ . Draw tangents to the circle from point $P$ . Let the tangents intersect the circle in points $A$ and $B$ . Find the approximate value of $∠ B O P$ in degrees.

The correct option is B $53^{o}$
$∠ B O P = 53^{o}$ (measurement)