They can additionally estimate their tentative marks and ranks. On the other hand, JEE 2022 aspirants can utilize these query papers to apprehend the paper sample, trouble level, and the form of questions requested inside the Joint Entrance Examination.

**1. Let A=\{z \in \mathbf{C}: 1 \leq|z-(1+i)| \leq 2\} and B=\{z \in A :|z-(1-i)|=1\}. Then, B :**

**(A) Is an empty set**

**(B) Contains exactly two elements**

**(C) Contains exactly three elements**

**(D) Is an infinite set**

**2.The remainder when 3^{2022} is divided by 5 is:**

**(A) 1**

**(B) 2**

**(C) 3**

**(D) 4**

**3. The surface area of a balloon of the spherical shape being inflated, increases at a constant rate. If initially, the radius of the balloon is 3 units and after 5 seconds, it becomes 7 units, then its radius after 9 seconds is :**

**(A) 9**

**(B) 10**

**(C) 11**

**(D) 12**

**5.Let x^{2}+y^{2}+A x+B y+C=0 be a circle passing through (0,6) and touching the parabola y=x^{2} at (2,4). Then A+C is equal to**

**(A) 16**

**(B) \frac{88}{5}**

**(C) 72**

**(D) -8**

**6. The number of values of \alpha for which the system of equations:**

\begin{array}{l}
x+y+z=\alpha \\
\alpha x+2 \alpha y+3 z=-1 \\
x+3 \alpha y+5 z=4
\end{array}

**is inconsistent, is**

**(A) 0**

**(B) 1**

**(C) 2**

**(D) 3**

**9.Let S=\{\sqrt{n}: 1 \leq n \leq 50 and n is odd \}.**

**Let a \in S and A=\left[\begin{array}{ccc}1 & 0 & a \\ -1 & 1 & 0 \\ -a & 0 & 1\end{array}\right]**

**If \sum_{a \in S} \operatorname{det}(\operatorname{adj} A)=100 \lambda, then \lambda is equal to :**

**(A) 218**

**(B) 221**

**(C) 663**

**(D) 1717**

Overall, JEE Mains 2022 – Maths consists of some easy and time-consuming questions that you can solve with less effort and some basic concepts.

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Calculus of Finite Difference :

Operators A and E. Construction of diagonal Difference tables. Estimation of missing values, Ideas of interpolation. Statements and applications of Newton’s Forward, Backward and Lagrange’s interpolation formulae. Idea of numerical integration, General quadrature formula. Statement and applications of trapezoidal rule, Simpsons 1/3rd rule and Simpsons 3/8th rule along with the conditions under which they are derived.

Basic concepts of Random experiment, Sample point, Sample space and Event, occurrence of an event, Union and intersection of events. Complement of an event. Certain and null events. Exhaustive, Mutually exclusive and equally likely events. Probability of an event: Classical, Emperical and axiomatic (without introducing idea of measure theory). Unconditional probability, conditional probability, Dependent and independent events. Addition rule of Probability, Generalized Addition rule of probability (upto three events). Statements and application of multiplication rule of Probabilities.

Random Variable and Distribution :

Random variable; discrete and continuous distribution of a random variable, p.m.f. and p.d.f, density function. Presentation of discrete probability distribution. Probability curve of a continuous distribution, Mathematical expectation of a random variable. Mathematical expectation of the function of a random variable. Theorems on expectation of the sum and product of random variables-only application (without derivation)

Idea of Bernoulli Trials; Binomial distribution; Mathematical form, occurrence of the distribution. Derivation of the distribution, Calculation of Mean and variance. Poisson distribution; Mathematical form, Occurrence of the distribution, derivation as a limiting form of Binomial distribution, calculation of mean and variance. Normal distribution, Mathematical form (without proof). Important properties and their applications. Derivation of distribution of standard normal variate and its applications.

Sample and Sampling distribution. Unbiased estimate of a parameter. Standard error of sampling mean and sample proportion for random sampling (without Derivation)-simple applications. Statistical hypothesis-Null hypothesis, alternative hypothesis, Level of significance. Test (only two tailed test) for a hypothetical population mean on the basis of information supplied by a random sample drawn from a normal having known standard deviation (application only). Student ‘t’ test (only two tailed test) for an assumedmean (examples only), Large sample test (only two tailed test) for proportion (examples only). Examples on use of frequency x² for testing independence of attributes in 2 x 2 table

Sample Survey:

Sample survey and complete enumeration. Basic principles of sample survey, validity of optimization. Principal steps in a survey, Errors in a survey. Sampling and non sampling errors. Advantage of sample survey over complete enumeration.

Simple random sampling with and without replacement-method of selection of SRS making use of Table of random number, Estimation population mean and total, use of formula-mean and estimated population total. Limitations of SRS. Idea of stratified random sampling. Estimation of population mean (method of allocation not included). Preparation of Questionnaire and schedule. Idea of pilot survey.

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If there should arise an occurrence of grids one contrast is that they are commutative when added yet they are not generally commutative when they are duplicated. So for two genuine numbers, x, and y

AB= BA, consistently.

Yet, for two grids, A and B,

Generally AB ≠ BA

Another is that, while each non-0 genuine number has a multiplicative opposite (corresponding), few out of every odd non-0 framework has a reverse. Furthermore, numerically talking, division by x comprises augmentation by the reverse of x.

So to separate framework A from matrix B, we initially need to find the converse of B which could possibly exist. In any case, regardless of whether it exists in light of that non-commutativity thing in duplication about the frameworks, you have two methods for duplicating it onto A:-

A * B^{-1} or then again B^{-1} * A , what’s more, those will usually be unique.

End Words:-

So because of the different reasons referenced over partitioning the two matrices simply don’t function admirably when applied to networks. I hope now you got the answer to why **matrices cannot divide**.

**Question Paper** – Download

**Solution** – Download

I hope this post is helpful for your exams for the Class 11 AHSEC 2022 question paper. Please mail to us: mathdartwebsite@gmail.com for any queries or feedback.

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The authorities have released the **Assam SEBA Board Class 11 Mathematics question paper 2022** for sebaonline.org. Students preparing for the upcoming Assam Board Class 11 Mathematics Exams can download the previous year’s class 11 Mathematics question papers released by the Central Board of Secondary Education. Students are advised to solve the AHSEC Class 11 Mathematics question paper to boost their preparation level. Moreover, it will help the candidates to understand the complete syllabus weightage in the exam.

Download Assam SEBA Board Class 11 Mathematics Question Sample Papers below

Class 11 Sample Paper 1 | |

Class 11 Sample Paper 2 | |

Class 11 Sample Paper 3 | |

Class 11 Sample Paper 4 |

Class 11 Mathematics Chapterwise Weightage

Unit |
Name of the Unit |
Chapters |
Allotted Marks |

1. | Sets and Functions | Sets Relations and Functions Trigonometric Functions |
23 |

2. | Algebra | Principles of Mathematical induction Complex Numbers and Quadratic Equations Linear Inequalities Permutation and Combinations Binomial Theorem Sequence and Series |
30 |

3. | Coordinate Geometry | Straight Lines Conic Sections Introduction to Three-dimensional Geometry |
10 |

4. | Calculus | Limits and Derivatives | 05 |

5. | Mathematical Reasoning | Mathematical Reasoning | 02 |

6. | Statistics and Probability | Statistics Probability |
10 |

Key Benefits Of Solving Assam SEBA Board Class 11 Mathematics Question Papers. There are a few advantages of this study work out:

- To foster an interest in arithmetic, for understudies who need to seek it for higher investigations
- It improves the speed of addressing questions and time usage abilities.
- It assists competitors with acquiring an understanding of the Assam SEBA Board Class 11 Mathematics test design.
- It assists understudies with acquiring information regarding the matter.
- Ace the fundamental ideas and abilities expected for Class 12.
- Figure out the kind of inquiries and checking plan.
- Helps in breaking down the readiness level.
- Gives a thought regarding the genuine test situation.
- Upgrades test demeanor and lift certainty.
- Tackling issues assist understudies with creating sensible thinking.
- Gives a thought regarding the themes significant for the assessment perspective.
- AHSEC 11 Mathematics Question papers help in understanding the Exam design and its degree of trouble.
- They can get basic comprehension with the assistance of visuals.

**Frequently Asked Questions**

**Q1: What are the chapters you can skip to pass Class 11 maths easily?**

Ans: If any students just want to pass the exam anyhow, then you must give more attention to the chapters like Sets, Complex Numbers, Probability, Mathematical Reasoning, and Limits & Derivatives which hold more than 25 Marks, and in the same way you can skip chapters like Trigonometry and Straight lines.

**Q2: Is class eleventh Math troublesome?**

Ans: Indeed, class 11 Maths is significantly more troublesome than class tenth Maths. New ideas like connection work, set hypothesis, Algebra, and Calculus are presented in this class. Understudies need to give additional consideration in homerooms to grasp these ideas.

**Q3: what number of sections are there in class 11 Maths?**

Ans: There are in each of the 16 sections in class 11 Maths. You can peruse the article above to know the names of these sections and their course contents.

Q4: Which guide is best for class 11 Maths?

Ans: RD Sharma and RS Aggarwal are considered the best class 11 Maths reference books. They show the ideas well as well as furnish understudies with a lot of training questions.

**Q5: Is NCERT enough for class 11 maths?**

Ans: NCERT Maths arrangements are viewed as the best as they furnish you with the best comprehension of the ideas.

The digit-sum method has immense utility for practitioners of Numerology and other occult sciences. The knowledge that they can eliminate the 9’s and numbers that add up to 9 makes their task simpler.

For students giving competitive and other exams. this technique has a lot of utility. Many times they can check the digit-sum of each of the alternatives with the digit-sum of the question and try to arrive at the correct answer. This will eliminate the need for going through the whole calculation.

However, there is one drawback with this technique. The drawback is that the digit-sum method can tell us only whether an answer is wrong or not. It cannot tell us with complete accuracy whether an answer is correct or not.

This sentence is so important that I would like to repeat it again.

The digit-sum method can only tell us whether an answer is wrong or not. It cannot tell us with complete accuracy whether an answer is correct or not.

Let me illustrate this with an example.

(Q) What is the product of 9993 multiplied by 9997?

Method: Assume that you have read the question and calculated the answer as 99900021. The digit sum of the question is 3 and the digit sum of the answer is 3 hence we can assume that the answer is correct.

However, instead of 99900021 had your answer been 99900012 then too the digit-sum would have matched even though the answer is not correct. Or for that matter if your answer would have been 99990021 then too the digit-sum would have matched although this answer is incorrect too. Or in an extreme case, even if your answer would have been 888111021 then still the digit-sum would have matched although it has highly deviated from the correct answer!

Thus, even though the digit-sum of the answer matches that of the question, you cannot be 100% sure of its accuracy. You can be reasonably sure of its accuracy but cannot swear by it.

However, if the digit-sum of the answer does not match the digit sum of the question then you can be 100% sure that the answer is wrong.

In a nutshell,

- Then the answer is matched Then Most likely correct.
- If the digit-sums Do not match then Wrong.

For practitioners of numerology and other occult sciences, there is no question of checking answers and hence this can per se come to their aid.

]]>A. Treasury bills

B. Commercial Paper

C. Certificate of deposit

D. Equity Shares

E. None of these

**Answer:** D: Equity Shares.

The reason is that equity shares are instruments that last for a long time therefore, they cannot be an instrument used to make money.

The money market is a market where financial institutions provide many investors and borrowers the chance to purchase and sell different types of short-term securities. There isn’t a physically-based “money market.” Instead, it’s an informal trading and banking network connected via fax, telephones machines, and computers. The money markets are present across the United States and abroad. Short-term loans and securities that are sold on the market – which are often referred to as market instruments have maturities ranging from a single day to a year and are highly liquid. Treasury bills and notes issued by federal agencies and certificates of deposit (CDs) and eurodollar deposits, commercial paper bankers’ acceptances Repurchases, and bankers’ acceptances are all examples of instruments. The money market instruments’ suppliers money market instruments are banks and individuals who have a preference for the most liquidity and lowest risk.

**What’s Money Market?**

Money Market is an investment market in which short-term financial assets with a liquidity of less than one year can be traded through stock exchanges. The trading bills or securities are very liquid. They also facilitate participants’ short-term borrowing requirements by trading bills. Participants in this financial market include typically large institutions, banks, and private investors.

There is a wide range of instruments that are traded on the market for money in both the stock exchanges NSE as well as BSE. They include Treasury bills as well as certificates of deposit commercial paper, purchase agreements etc. Since the securities that are traded are extremely liquid this market is considered to be a secure location to invest in.

**Specifics that are part of the Money Market:**

- The number of assets that are traded is usually very large.
- It’s still in the process of evolving. There is always the chance of adding new instruments.
- It meets the financial needs of the borrower. It also addresses the investments with an expiration date of one calendar year or less.

I hope the much-hyped question “Which one of the following is not a “Money Market Instrument?” is solved now.

]]>**A.**15

**B.**20

**C.** 25

**D.** 27

**E.** 32

Answer: 25 Days

Solution:

Let the Rohit one day work be ‘x’

Aman’s one day work be ‘3x’

Ram’s one day work be ‘6x’

Therefore, three can do this particular work together = 1/10

\begin{array}{l} \therefore x+3 x+6 x=\frac{1}{10} \\ \Rightarrow 10 x=\frac{1}{10} \\ \therefore x=\frac{1}{100} \end{array}

So, Aman and Rohit can do this work is 3x+x=1/100+1/100

\begin{array}{l} \Rightarrow 3x+x=\frac{1}{100} \\ \Rightarrow 4x=\frac{1}{100} \\ \therefore x=25 \text { Days } \end{array}

Hence, Aman and Rohit can do this work in 25 days

]]>A few instances of indivisible numbers are 5, 7, 11, 13, and 17. Involving these numbers in a grouping, for example, 11, 13, 17 methods would be continuous, as there are no indivisible numbers between any of these three numbers.

Then again, arrangements 7, 13, 17 wouldn’t address sequential indivisible numbers on the grounds that the indivisible number 11 can go between the 7 and the 13.

Since 2 is the main prime considerably number, It’s conceivable on the grounds that the following significant number, 4, is a composite number, similar to each and every much number after that since they are for the most part uniformly detachable by 2. As a result of all the even numbers beginning with 4 being composite, it’s difficult to have two more prime consecutive. Or then again one more method for saying it is that when you recognize an indivisible number, it’s surefire that the number promptly going before it, as well as the number succeeding it, will be composite.

**Q: Are 1, 2, and 3 the main continuous primes?**

As numerous different responses have been brought up, 1 isn’t prime and 2 and 3 are the main two continuous indivisible numbers (as any remaining even numbers are separable by 2 and subsequently not prime). In any case, I thought I’d pause for a minute to give some thinking with regards to why 1 is certifiably not an indivisible number, despite the fact that this is truly somewhat of a beside your unique inquiry.

One reason primes are so helpful/intriguing is that each and every other number can be communicated as a result of primes. For instance,

60=2^2⋅3⋅5.

Additionally, this articulation is one of a kind.

]]>Ans: connecting with or being the numerically least difficult case.

In maths, the modifier trivial is frequently used to allude to a case or a case that can be promptly acquired from a setting, or an item that has a straightforward construction. The thing technicality, as a rule, alludes to a basic specialized part of some verification or definition.

Let us take a system of 3 equations

a1x+b1y+c1z=0

a2x+b2y+c2z=0

a3x+b3y+c3z=0

and coefficient matrix “A”. So I have been told that the solution of this matrix will be non-trivial if |A|=0 and trivial in any other case. As far as I know, a nontrivial solution means solutions are not equal to zero but in any case, x,y,z=0 will satisfy given equations regardless of the value of the determinant. So, why do we call it a “non-trivial” solution?

If x=y=z=0 then trivial solution And if |A|=0 then non-trivial solution that is the determinant of the coefficients of x,y,z must be equal to zero for the existence of a non-trivial solution.

For example, the equation x+10y=0 has the trivial solution x=0,y=0. Nontrivial solutions include x=10,y=–1 and x=–2,y=0.2.

**Trivial Meaning in Hindi**: मामूली

We wrote trivial solutions in Mathematics higher education. But we never get into depth, sure you’d learn something today.

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