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 A circle can have  parallel tangents at the most. One / Two / Three

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Important Questions on Circles

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MATHEMATICS Textbook for Class X>Chapter 10 - Circles>Exercise 10.1>Q 2
The common point of a _____ to a Circle and the Circle is called a Point of Contact.
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MATHEMATICS Textbook for Class X>Chapter 10 - Circles>Exercise 10.1>Q 3
A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ=12 cm. Length PQ is
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MATHEMATICS Textbook for Class X>Chapter 10 - Circles>Exercise 10.1>Q 4
Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.
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MATHEMATICS Textbook for Class X>Chapter 10 - Circles>Exercise 10.2>Q 1
From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is
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MATHEMATICS Textbook for Class X>Chapter 10 - Circles>Exercise 10.2>Q 2

In the figure given below, if TP and TQ are the two tangents to a circle with centre O so that ∠POQ=110o, then ∠PTQ is equal to

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MATHEMATICS Textbook for Class X>Chapter 10 - Circles>Exercise 10.2>Q 3
If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80°, then ∠POA is equal to
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MATHEMATICS Textbook for Class X>Chapter 10 - Circles>Exercise 10.2>Q 4
Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
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MATHEMATICS Textbook for Class X>Chapter 10 - Circles>Exercise 10.2>Q 5
Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.