Circles Tangent and its Properties Length of tangents Practise problems CBSE Class 10 ex 10 2

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

00:02 CBSE solutions for class 10 maths circles Ex 10.2 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 Ex 10.2 Q2.

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 solutions for class 10 maths circles Ex 10.2 Q3.

06:05 Application of Angle sum property of a Quadrilateral

07:02 Alternate Interior angles of a transversal.

07:29 CBSE class 10 maths chapter 10 Circles Ex 10.2 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 solutions for class 10 maths circles Ex 10.2 Q5.Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

11:02 CBSE class 10 maths chapter 10 Circles Ex 10.2 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 circles Ex 10.2 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.

17:46 CBSE Class 10 Maths Solutions Circles Q8. .

19:01 Tangent Segments Theorem:The lengths of tangents drawn from an external point to a circle are equal.

21:37 NCERT solutions for CBSE class 10 maths circles Ex 10.2 Q9.

22:44 Tangent Theorem:The tangent to a circle is perpendicular to the radius through the point of contact.

23:36 Aplication of S.A.S Property of congruency.

24:44 The tangent to a circle is perpendicular to the radius through the point of contact.

25:25 S.A.S rule of Congruency.

26:16 Using Linear Pair

29:03 NCERT solutions for CBSE class 10 maths 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.

30:26 Tangent Theorem

30:59 Angle sum Property of a Quadrilateral.

32:16 CBSE class 10 maths chapter 10 Circles Ex 10.2 Q11. Prove that the parallelogram circumscribing a circle is a rhombus.

15:18 Properties of Parallelogram.

36:12 Using Properties of Rhombus - All sides are equal.

37:18 CBSE class 10 maths chapter 10 Circles Ex 10.2 Q12.

40:13 Area of Triangle: Heron's Formula

40:31 Determine Semi-Perimeter of Triangle

41:30 Calculate Area of Triangle using Heron's Formula

42:40 Find Area of Triangle considering Base and Corresponding height.

46:26 CBSE solutions for class 10 maths circles Ex 10.2 Q13. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

47:11 Construction procedure to solve Problem

48:35 Apply Tangent Segments Theorem:The lengths of tangents drawn from an external point to a circle are equal.

51:33 Using S.A.S Property of congruency

51:55 Apply CPCT (Corresponding Parts of Congruent Triangles)

CBSE solutions for class 10 maths circles

CBSE class 10 maths chapter 10 Circles

Solutions for CBSE Class 10 Maths Chapter 10

CBSE Class 10 maths solutions Circles Ex10.1

NCERT Solutions for CBSE Class 10 Maths Chapter 10 Circles Ex 10.1

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