Thursday, August 13, 2020

cbse deleted portions

 cbse deleted portions in mathematics 2020 2021

For Class 10 mathematics

The data given here may not be correct

Students are asked to consult the official cbse website for the correct deleted portions.

A few of the deleted portions for class 10 mathematics are given below

Euclid's division lemma has been deleted in real numbers.

division algorithm of polynomials has been deleted.

Cross multiplication method has been removed in two variable linear equations

Situational problems have been removed in quadratic equations.

Solution of real life problems based on sum of n terms of an AP has been removed.

Area of triangle has been  deleted in Coordinate geometry.

Proof of ratio of areas of similar triangles and proog of if the square on one side is equal to sum of the squares on the other two sides, the angle opposite to the first side is a right angle have been deleted

Construction of similar triangles has been deleted.

Trigonometry ratios of complimentary angles has been removed.

Frustum of cone, step deviation method for mean, cumulative frequency graph have been delted.

chapter 8 binomial theorem miscellaneous exercise

 1.Find a , b and n in the expansion of (a+b)^n if the first three terms in the expansion are 729, 7290, 30375

solution

 

2.  Find a if the coefficients of (x^2)  & (x^3) in the expansion of {(3+ax)^9} are equal 

solution

  3.find the coefficient of {x^5} in the expansion of{(1+2x)^6}{(1-x)^7}

solution

 

5.evaluate { (sqrt(3) + sqrt(2))^6 } - { (sqrt(3) - sqrt(2))^6 }

solution 

 6.find the value of [(a^2)+sqrt{(a^2)-1}]^4 + [(a^2)-sqrt{(a^2)-1}]^4 

solution

 

7.find an approximate value of (0.99^5) using the first three terms of its expansion

solution  

exercise 8.2

Q8) Find the  middle terms in the expansion of [(x/3)+9y)]^10

solution   

ncert cbse 11th mathematics chapter  7 permutations exercise 7.3
11.In how many ways can the letters of the word PERMUTATIONS be arranged if
i)words start with P and end with S
ii)vowels are all together
iii)there are always 4 letters between P and S


ncert cbse 11th mathematics chapter  7 permutations miscellaneous exercise


1.How many words each of 2 vowels and 3 consonants can be formed using the letters of the word DAUGHTER



2. How many words of can be formed using all the letters of the word
 EQUATION  so that the vowels and consonants occur together?

4. If the different permutations of the word EXAMINATION are arranged in a dictionary how many words are there in this list before the first word starting with E

6.How many 6 digit numbers can be formed using 0,1,3,5,7,9 which are divisible by 10 and no digit is repeated?

6.The english alphabet has 5 vowels and 21 consonants. How many words with 2 different vowels and 2 different consonants can be formed

7. In an examination  a question paper consists of two parts containing 5 and 7 questions respectively. A  student is required to answer 8 questions in all selecting atleast 3  from each part.  In how many ways can a student select the questions?

8.determine the number of 5 card selections of a deck of 52 cards if each selection of 5 cards should have exactly one king

9. It is required to seat 5 men and 4 ladies in a row so that the ladies occupy the even positions. How many such arrangements are possible.

10. In a class of  25 students, 10 are to be chosen  for an excursion party. There are 3 students who decide that either all of them will join or none of them will go. In how many ways can the party be chosen.

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