Class 11-commerce RD SHARMA Solutions Maths Chapter 1 - Sets
Ex. 1.1
Ex. 1.6
Ex. 1.7
Ex. 1.2
Ex. 1.3
Ex. 1.4
Ex. 1.5
Ex. 1.8
Ex. 1VSAQ
Sets Exercise Ex. 1.1
Solution 1
![](https://images.topperlearning.com/topper/bookquestions/49451_image002.gif)
Solution 2
![](https://images.topperlearning.com/topper/bookquestions/49461_image004.gif)
Solution 3
Sets Exercise Ex. 1.6
Solution 2(i)
Solution 2(ii)
Solution 2(iii)
Solution 2(iv)
Solution 2(v)
Solution 2(vi)
Solution 4(i)
Solution 4(ii)
Solution 4(iii)
Solution 14(i)
Solution 14(ii)
Solution 15
Solution 1
![](https://images.topperlearning.com/topper/bookquestions/51211_image043.gif)
Solution 3(i)
![](https://images.topperlearning.com/topper/bookquestions/51291_image057.gif)
Solution 3(ii)
![](https://images.topperlearning.com/topper/bookquestions/51301_image059.gif)
Solution 5
![](https://images.topperlearning.com/topper/bookquestions/51311_image062.gif)
Solution 6(i)
Solution 6(ii)
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12(i)
Solution 12(ii)
Solution 13
Sets Exercise Ex. 1.7
Solution 4(i)
Solution 4(ii)
Solution 4(iii)
Solution 4(iv)
Solution 4(v)
Solution 1
![](https://images.topperlearning.com/topper/bookquestions/51541_image088.gif)
Solution 2(i)
![](https://images.topperlearning.com/topper/bookquestions/51561_image090.gif)
Solution 2(ii)
![](https://images.topperlearning.com/topper/bookquestions/51581_image092.gif)
Solution 2(iii)
![](https://images.topperlearning.com/topper/bookquestions/51601_image094.gif)
Solution 2(iv)
![](https://images.topperlearning.com/topper/bookquestions/51631_image096.gif)
Solution 3
![](https://images.topperlearning.com/topper/bookquestions/51641_image098.gif)
Sets Exercise Ex. 1.2
Solution 1(i)
![](https://images.topperlearning.com/topper/bookquestions/49481_image008.gif)
Solution 1(ii)
![](https://images.topperlearning.com/topper/bookquestions/49491_image010.gif)
Solution 1(iii)
![](https://images.topperlearning.com/topper/bookquestions/49511_image012.gif)
Solution 1(iv)
![](https://images.topperlearning.com/topper/bookquestions/49541_image015.gif)
Solution 1(v)
![](https://images.topperlearning.com/topper/bookquestions/49551_image017.gif)
Solution 1(vi)
![](https://images.topperlearning.com/topper/bookquestions/49571_image019.gif)
Solution 1(vii)
![](https://images.topperlearning.com/topper/bookquestions/49581_image021.gif)
Solution 1(viii)
![](https://images.topperlearning.com/topper/bookquestions/49591_image023.gif)
Solution 1(ix)
![](https://images.topperlearning.com/topper/bookquestions/49611_image025.gif)
Solution 2(i)
![](https://images.topperlearning.com/topper/bookquestions/49621_image027.gif)
Solution 2(ii)
![](https://images.topperlearning.com/topper/bookquestions/49631_image029.gif)
Solution 2(iii)
![](https://images.topperlearning.com/topper/bookquestions/49641_image031.gif)
Solution 2(iv)
![](https://images.topperlearning.com/topper/bookquestions/49651_image033.gif)
Solution 2(v)
![](https://images.topperlearning.com/topper/bookquestions/49661_image035.gif)
Solution 2(vi)
![](https://images.topperlearning.com/topper/bookquestions/49671_image037.gif)
Solution 2(vii)
![](https://images.topperlearning.com/topper/bookquestions/49681_image039.gif)
Solution 2(viii)
![](https://images.topperlearning.com/topper/bookquestions/49691_image041.gif)
Solution 3(i)
![](https://images.topperlearning.com/topper/bookquestions/49701_image043.gif)
Solution 3(ii)
![](https://images.topperlearning.com/topper/bookquestions/49711_image045.gif)
Solution 3(iii)
![](https://images.topperlearning.com/topper/bookquestions/49721_image047.gif)
Solution 3(iv)
![](https://images.topperlearning.com/topper/bookquestions/49731_image049.gif)
Solution 3(v)
Solution 3(vi)
![](https://images.topperlearning.com/topper/bookquestions/49751_image053.gif)
Solution 4
![](https://images.topperlearning.com/topper/bookquestions/49761_1.2-4E.jpg)
Solution 5
![](https://images.topperlearning.com/topper/bookquestions/49771_image057.gif)
Solution 6
![](https://images.topperlearning.com/topper/bookquestions/49781_image059.gif)
Solution 7
![](https://images.topperlearning.com/topper/bookquestions/49791_image061.gif)
Sets Exercise Ex. 1.3
Solution 1
![](https://images.topperlearning.com/topper/bookquestions/49801_image063.gif)
Solution 2
![](https://images.topperlearning.com/topper/bookquestions/49811_image065.gif)
Solution 3
![](https://images.topperlearning.com/topper/bookquestions/49821_image067.gif)
Solution 4
![](https://images.topperlearning.com/topper/bookquestions/49831_image069.gif)
Solution 5
![](https://images.topperlearning.com/topper/bookquestions/49841_image071.gif)
Solution 6
![](https://images.topperlearning.com/topper/bookquestions/49851_image073.gif)
Solution 7
![](https://images.topperlearning.com/topper/bookquestions/49861_1.3-7E.jpg)
Solution 8
![](https://images.topperlearning.com/topper/bookquestions/49871_image077.gif)
Solution 9
![](https://images.topperlearning.com/topper/bookquestions/49881_image079.gif)
Sets Exercise Ex. 1.4
Solution 1
Solution 2
![](https://images.topperlearning.com/topper/bookquestions/49891_image004.gif)
Solution 3
![](https://images.topperlearning.com/topper/bookquestions/49901_image006.gif)
Solution 4(i)
![](https://images.topperlearning.com/topper/bookquestions/49911_image008.gif)
Solution 4(ii)
![](https://images.topperlearning.com/topper/bookquestions/49921_image010.gif)
Solution 4(iii)
![](https://images.topperlearning.com/topper/bookquestions/49931_image012.gif)
Solution 4(iv)
![](https://images.topperlearning.com/topper/bookquestions/49941_image014.gif)
Solution 4(v)
![](https://images.topperlearning.com/topper/bookquestions/49951_image016.gif)
Solution 4(vi)
![](https://images.topperlearning.com/topper/bookquestions/49961_image018.gif)
Solution 5
![](https://images.topperlearning.com/topper/bookquestions/49971_image020.gif)
Solution 6
![](https://images.topperlearning.com/topper/bookquestions/49981_image022.gif)
Solution 7
![](https://images.topperlearning.com/topper/bookquestions/49991_image024.gif)
Solution 8
![](https://images.topperlearning.com/topper/bookquestions/50001_image026.gif)
Solution 9
![](https://images.topperlearning.com/topper/bookquestions/50011_image028.gif)
Solution 10
![](https://images.topperlearning.com/topper/bookquestions/50021_image030.gif)
Solution 11
Solution 12
![](https://images.topperlearning.com/topper/bookquestions/50041_image034.gif)
Solution 13
![](https://images.topperlearning.com/topper/bookquestions/50051_image036.gif)
Solution 14
![](https://images.topperlearning.com/topper/bookquestions/50061_image038.gif)
Solution 15
![](https://images.topperlearning.com/topper/bookquestions/50071_image040.gif)
Solution 16
![](https://images.topperlearning.com/topper/bookquestions/50081_image042.gif)
Sets Exercise Ex. 1.5
Solution 1
![](https://images.topperlearning.com/topper/bookquestions/50961_image002.gif)
Solution 2(i)
![](https://images.topperlearning.com/topper/bookquestions/50971_image004.gif)
Solution 2(ii)
![](https://images.topperlearning.com/topper/bookquestions/50981_image006.gif)
Solution 2(iii)
![](https://images.topperlearning.com/topper/bookquestions/50991_image008.gif)
Solution 2(iv)
![](https://images.topperlearning.com/topper/bookquestions/51001_image010.gif)
Solution 2(v)
![](https://images.topperlearning.com/topper/bookquestions/51011_image012.gif)
Solution 2(vi)
![](https://images.topperlearning.com/topper/bookquestions/51021_image014.gif)
Solution 2(vii)
![](https://images.topperlearning.com/topper/bookquestions/51031_image016.gif)
Solution 2(viii)
![](https://images.topperlearning.com/topper/bookquestions/51041_image018.gif)
Solution 2(ix)
![](https://images.topperlearning.com/topper/bookquestions/51051_image020.gif)
Solution 2(x)
![](https://images.topperlearning.com/topper/bookquestions/51061_image022.gif)
Solution 3(i)
![](https://images.topperlearning.com/topper/bookquestions/51071_image024.gif)
Solution 3(ii)
![](https://images.topperlearning.com/topper/bookquestions/51081_image026.gif)
Solution 3(iii)
![](https://images.topperlearning.com/topper/bookquestions/51091_image028.gif)
Solution 3(iv)
![](https://images.topperlearning.com/topper/bookquestions/51101_image030.gif)
Solution 3(v)
![](https://images.topperlearning.com/topper/bookquestions/51111_image032.gif)
Solution 3(vi)
![](https://images.topperlearning.com/topper/bookquestions/51121_image034.gif)
Solution 4
![](https://images.topperlearning.com/topper/bookquestions/51131_image036.gif)
Solution 5
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/vijay/ex_1.5_5vi_n.jpg)
Solution 6
![](https://images.topperlearning.com/topper/bookquestions/51181_image041.gif)
Sets Exercise Ex. 1.8
Solution 1
Solution 2
![](https://images.topperlearning.com/topper/bookquestions/51761_image102.gif)
Solution 3
![](https://images.topperlearning.com/topper/bookquestions/51771_image104.gif)
Solution 4
![](https://images.topperlearning.com/topper/bookquestions/51791_image106.gif)
Solution 5(i)
![](https://images.topperlearning.com/topper/bookquestions/51821_image108.gif)
Solution 5(ii)
![](https://images.topperlearning.com/topper/bookquestions/51851_image110.gif)
Solution 5(iii)
Solution 6
![](https://images.topperlearning.com/topper/bookquestions/51901_image114.gif)
Solution 7
![](https://images.topperlearning.com/topper/bookquestions/51921_image116.gif)
Solution 8
![](https://images.topperlearning.com/topper/bookquestions/51931_image118.gif)
Solution 9
![](https://images.topperlearning.com/topper/bookquestions/51981_image120.gif)
![](https://images.topperlearning.com/topper/bookquestions/51981_image121.gif)
Solution 10
![](https://images.topperlearning.com/topper/bookquestions/52011_image123.gif)
Solution 11
![](https://images.topperlearning.com/topper/bookquestions/52021_image125.gif)
Solution 12
![](https://images.topperlearning.com/topper/bookquestions/52041_image127.gif)
![](https://images.topperlearning.com/topper/bookquestions/52041_image128.gif)
![](https://images.topperlearning.com/topper/bookquestions/52041_image128.gif)
Solution 13
![](https://images.topperlearning.com/topper/bookquestions/52071_image130.gif)
Solution 14
![](https://images.topperlearning.com/topper/bookquestions/52091_image132.gif)
Solution 15
![](https://images.topperlearning.com/topper/bookquestions/52101_image134.gif)
Sets Exercise Ex. 1VSAQ
Solution 1
Let A be a set. Then collection or family of all subsets of A is called the power set of A and is denoted by P(A).
A set having n elements has 2n subsets. Therefore, if A is a finite set having n elements, then P(A) has 2n elements.
Solution 2
If A is the void set Φ, then P(A) has just one element Φ i.e. P(Φ) ={Φ}.
Solution 3
Solution 4
The minimum number of elements thatcan have is 6.
Solution 5
Solution 6
Solution 7
The maximum number of elements thatcan have is 11.
Solution 8
Solution 9
Solution 10
Solution 11