Circles | Tangent and its properties | Tangent Theorem Practise Problems | CBSE Class 10 (Part 1)

http://www.learncbse.in/ncert-class-10-math-solutions/

Tangent Theorem:

It states that the tangent to a circle is perpendicular to the radius through the point of contact.

00:02 CBSE solutions for class 10 maths circles Ex10.2 Q1. 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

01:05 Tangent Theorem:The tangent to a circle is perpendicular to the radius through the point of contact.

01:24 Phythagoras Theorem:In a right angle triangle,hypotenuse Square is equal to sum of squares of other two sides.

02:14 CBSE class 10 maths chapter 10 Circles Ex10.2 Q2. In Fig. 10.11, if TP and TQ are the two tangents to a circle with centre O so that (Angle POQ) = 110°,then (Angle PTQ) is equal to

02:51 Application of Tangent Theorem.

03:25 Angle sum property of a Quadrilateral

It states Sum of the angles of a Quadrilateral is 360°.

04:33 CBSE Class 10 Maths Solutions Circles Ex10.2 Q3. 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 (Angle POA) is equal to

06:05 Application of Angle sum property of a Quadrilateral

07:02 Alternate Interior angles of a transversal.

07:29 NCERT Solutions for CBSE Class 10 Maths Chapter 10 Circles Ex 10.1 Q4. Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

08:12 The tangent to a circle is perpendicular to the radius through the point of contact.

09:02 Alternate Interior angles of a transversal

09:24 CBSE Class 10 Maths Solutions Circles Ex10.2 Q5.Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

11:02 Q6. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.

13:23 NCERT Solutions for CBSE Class 10 Maths Chapter 10 Circles Ex 10.1 CBSE solutions for class 10 maths circles Ex10.2 Q7. Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.

14:10 Proof of Theorem In two concentric circles,the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact.

16:05 Theorem-Perpendicular from centre to chord bisects chord.

It states that The perpendicular from the centre of a circle to a chord bisects the chord.

16:48 Phythagoras Law:In a right angle triangle,hypotenuse Square is equal to sum of squares of other two sides.

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CBSE solutions for class 10 maths circles Ex10.2

CBSE class 10 maths chapter 10 Circles Ex10.2

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