NCERT Solutions for Class 10 Maths Chapter 10 - Circles

Practise textbook questions easily with NCERT Solutions for CBSE Class 10 Mathematics Chapter 10 Circles. In our textbook solutions, you will find valuable concept insights for this chapter. These insights will give you a better understanding of how to construct circles and draw tangents. This understanding will make it easier for you to solve problems related to circles. 

In addition, understand how to write answers on the topics of tangents and secants using our CBSE Class 10 Maths textbook solutions. If you still find the basic concepts difficult, our video lessons, topic lessons and other learning materials can be helpful for your board exam preparation.

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Chapter 10 - Circles Exercise Ex. 10.1

Solution 1

Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles

Solution 2
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Solution 3
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Solution 4
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles

Chapter 10 - Circles Exercise Ex. 10.2

Solution 1
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Solution 2

Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles

Solution 3
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles

Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles

Solution 4
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Solution 5
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Solution 6
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Solution 7
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles

Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Solution 8
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Solution 9
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles

Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles


Solution 10
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Solution 11

Since, ABCD is a parallelogram,

AB = CD                                                                (i)

BC = AD                                                                (ii)

Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles

Now, it can be observed that:

DR = DS                 (tangents on circle from point D)

CR = CQ                 (tangents on circle from point C)

BP = BQ                 (tangents on circle from point B)

AP = AS                 (tangents on circle from point A)

Adding all the above four equations,

DR + CR + BP + AP = DS + CQ + BQ + AS

(DR + CR) + (BP + AP) = (DS + AS) + (CQ + BQ)                 

CD + AB = AD + BC                                            (iii)

 

From equation (i) (ii)  and (ii):

         2AB = 2BC

         AB = BC

         AB = BC = CD = DA

         Hence, ABCD is a rhombus.

Solution 12
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles

Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles

Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Solution 13
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles
Ncert Solutions Cbse Class 10 Mathematics Chapter - Circles