Q2 of 47 Page 10

From how many points can a tangent intersect a circle?

From the figure given below it can be seen that a tangent can intersect a circle at one point only.



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20 In the given figure, O is the centre of the circle. PQ is a tangent to the circle at A. If ∠ PAB = 58°, find ∠ ABQ and ∠ AQB. 
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How many tangents can a circle have?

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If the tangent at a point P to a circle with centre O cuts a line through O at Q such that PQ = 24 cm and OQ = 25 cm. Find the radius of the circle.

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If the sides of a quadrilateral touch a circle, prove that the sum of a pair of opposite sides is equal to the sum of the other pair.