1. Study the given Venn-diagram and answer the given question.
Find the set of elements of
U={....
AUB={.....
A∩B=.....
onlyA={...
onlyB={....
n(AUB)=....
n(A∩B)=.... no(A)=... and no(B)=...
2. Copy the given picture and shade the the diagram
as given below.
a. AUB
b. A∩B
c. only part of A
d. only part of B
e. (AUB)'
f. (A∩B )'
3. Study the given formulae and copy it five times by replacing A by M and B by N.
Correction: In above formula for n(AnB), it should be like this,
n(AnB)=n(A)+n(B)- n(AUB).
4. If n(U)=120, n(M)=60, n(N)=50 n(MnN)=20 then find the value of n(MUN)'
and also represent the relation in Venn- diagram.
5. Study the set notation by color and write down the set notation formula for individual parts(color). Note click on each set notations like n(AnB), n(AUB)...one by one respectively that given in right hand side.
6. Click the given GeoGebra link and practice it by resenting the different values repeating at least three times.
7. Out of 500 students 300 students like science and 240 like math and 40 students like non of these subjects, then
a. Find the number of students who like both of these subjects. [40]
b. Students who like any one of these two subjects. [460]
c. Represent the given relation in Venn-diagram.
8. Among 90 people,35 like only modern songs, 45 like pop song and 15 like both of these songs. Then
a. Find the number of people liking only pop songs. [30]
b. People liking non of these songs. [10]
c. Represent the given relation in Venn-diagram.
Questions relating to percentage
9. In an examination, 40% students passed in Maths only, 30% passed in Science only and 10% students failed in both the subjects. If 400 students passed in Science, find the total number of Students by drawing Venn diagram. [800]
Hint: In case of Question relating to the percentage, the total values of concerning terms
is considered as 100%. So in this question total students in percentage n(U)=100%.
10. In a group of 100 students, in the ratio of students who like Android and Samsungis 3:5.If 20 of them like both the items and 40 of them like non of the items then by drawing a Venn diagram, find how many of them like Android tablet only. [30]
Algebra
Study the some important algebraic formulae
11. Study the given example, copy it and rewrite it by replacing x by m and y by n.
12. Factorise:
So we may write,
Now by the help of Hints given above, Solve the factor given in Q.12.
13. By similar method try to solve the factor,
Click on above video link and go to video (29. Algebraic expression-3) listen and watch the video
carefully then Solve the following questions.
****Click on the video link***
Now rewrite the 10 rules of indices at least three times.
Solve the following
Open the Video 31.Problems related to indices listen carefully and Solve the following.
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