Circles Tangent theorem | Length of tangents Practise Problems | CBSE Class 10 (Part 2)

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

Length of tangents

Tangent Segments Theorem:

It states that the lengths of tangents drawn from an external point to a circle are equal.

00:02 CBSE solutions for class 10 maths circles Ex 10.2 Q8. A quadrilateral ABCD is drawn to circumscribe a circle (as shown in the figure). Prove that AB + CD = AD + BC.

01:15 Tangent Segments Theorem:The lengths of tangents drawn from an external point to a circle are equal.(Length of tangents)

03:51 CBSE solutions for class 10 maths circles Ex 10.2 Q9. In the given figure, XY and X' Y ' are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X ' Y ' at B. Prove that ( Angle AOB = 90°)

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

06:01 Aplication of S.A.S Property of congruency.

06:56 The tangent to a circle is perpendicular to the radius through the point of contact.

07:38 S.A.S rule of Congruency.

08:40 Using Linear Pair

11:18 CBSE class 10 maths chapter 10 Circles Ex 10.2 Q10. Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre.

12:41 Tangent Theorem

13:13 Angle sum Property of a Quadrilateral.

14:31 CBSE solutions for class 10 maths circles Ex 10.2 Q11. Prove that the parallelogram circumscribing a circle is a rhombus.

15:18 Properties of Parallelogram.

15:48 Application of Tangent Segments Theorem

18:23From properties of Parallelogram

Pair of opposite sides are parallel and equal

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