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In mathematics the answer to a problem is called what?

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What one does to one side of the equation must be done to the other.

Starting with m=t-r, add r to both sides:

m+r = t-r+r or m+r=t. Subtract m from both sides:

m+r-m=t-m or m-m+r= t-m or**r=t-m**

Starting with m=t-r, add r to both sides:

m+r = t-r+r or m+r=t. Subtract m from both sides:

m+r-m=t-m or m-m+r= t-m or

Sep 19, 2014 | Mathsoft StudyWorks! Mathematics Deluxe...

Download the full solutions of IITJEE 2011 from below given links.

IITJEE 2011 FULL SOLUTIONS PAPER 1

IITJEE 2011 FULL SOLUTIONS PAPER 2

IIT-JEE 2011 AnalysisIIT JEE 2011 was conducted on 10th April 2011 in 131 cities all over India in 1051 centres for 4,85,262 registered candidates. For the first time, JEE has announced that scanned images of the Optical Response Sheets (ORS) with the candidates' details and their responses (answers) will be displayed on the JEE website after 25th May 2011. Answer Keys to JEE 2011 questions will be displayed on the JEE website on 15th May 2011 after completing the evaluation of OMR Sheets.

There were 10 versions for IIT-JEE 2011 - 0 to 9. The order of subjects in both papers were the same - Chemistry, Mathematics and Physics but the total marks, the number of questions and types of questions in both papers were distinct from each other.

**Paper-1**Paper1 had 69 questions in total for 240 marks - in the order of Chemistry, Physics and Mathematics. Each subject had 23 questions and the pattern was exactly the same for all the subjects.

**Chemistry**

This is a moderate level paper leaning more towards easy level of difficulty. The usual weightage of Physical > Organic > Inorganic Chemistry is maintained. Most of the questions in this paper evaluate the conceptual clarity of the student.

**Physics**

Overall the difficulty level of the paper was moderate. Still there were a few numerical questions involving elaborate mathematical calculations making them time consuming and hence difficult. No representation of Optics in this paper. Major focus in this paper was on Mechanics (for a total marks of 31)

**Mathematics**

Mathematics part of the 2011 JEE paper 1 was considered easier than the paper 1 of 2010. Few questions in Integer answer type require in-depth understanding of the concepts with perseverance in solving problems. Trigonometry had a good representation in the paper; the passage on matrices required quick thinking to interpret and solve the questions. One question about '3 x 3 non-singular skew symmetric matrices' has a basic flaw since odd ordered skew symmetric matrices are always singular. Paper 1 was a moderately difficult paper.

**Pattern of Paper-1:**

Paper-2Paper 2 had 60 questions in total - in the order of Chemistry, Physics and Mathematics. Each subject had 20 questions and as in paper 1 the pattern was exactly the same across the subjects. Questions had differential markings, each subject had 80 marks and the maximum mark for the paper was 240.

**Chemistry**

Paper 2 of IIT-JEE 2011 was difficult compared to paper 1. Weightage wise the Physical > Organic > Inorganic formula is maintained. Generally the nature of the questions in Physical chemistry is calculation oriented and hence the difficulty. Also complexity of Organic questions made this paper a challenging one.

**Physics**

Questions from certain areas which were not represented in paper 1 (gravitation, optics etc.) appeared in paper 2 thus balancing the Syllabus coverage. The difficulty level of this paper was slightly less than paper 1 especially the Integer Answer Type.

**Mathematics**

Paper 2 Mathematics part was tougher than the first paper - for the complexity in combining topic areas, for e.g. the matrix match had questions from 4 different areas posing a challenge for the student in the exam hall. Likewise, this paper required more calculations in solving than the first paper. Overall Mathematics part of IIT-JEE 2011 was less difficuly and less time consuming than that of 2010. The second paper was restricted to lesser number of areas, for e.g. there were no questions from Trigonometry. But this time Differential Calculus and Coordinate Geometry were well

represented.

**Pattern of Paper 2:**

*Courtesy: TIME*

IITJEE 2011 FULL SOLUTIONS PAPER 1

IITJEE 2011 FULL SOLUTIONS PAPER 2

IIT-JEE 2011 AnalysisIIT JEE 2011 was conducted on 10th April 2011 in 131 cities all over India in 1051 centres for 4,85,262 registered candidates. For the first time, JEE has announced that scanned images of the Optical Response Sheets (ORS) with the candidates' details and their responses (answers) will be displayed on the JEE website after 25th May 2011. Answer Keys to JEE 2011 questions will be displayed on the JEE website on 15th May 2011 after completing the evaluation of OMR Sheets.

There were 10 versions for IIT-JEE 2011 - 0 to 9. The order of subjects in both papers were the same - Chemistry, Mathematics and Physics but the total marks, the number of questions and types of questions in both papers were distinct from each other.

This is a moderate level paper leaning more towards easy level of difficulty. The usual weightage of Physical > Organic > Inorganic Chemistry is maintained. Most of the questions in this paper evaluate the conceptual clarity of the student.

Overall the difficulty level of the paper was moderate. Still there were a few numerical questions involving elaborate mathematical calculations making them time consuming and hence difficult. No representation of Optics in this paper. Major focus in this paper was on Mechanics (for a total marks of 31)

Mathematics part of the 2011 JEE paper 1 was considered easier than the paper 1 of 2010. Few questions in Integer answer type require in-depth understanding of the concepts with perseverance in solving problems. Trigonometry had a good representation in the paper; the passage on matrices required quick thinking to interpret and solve the questions. One question about '3 x 3 non-singular skew symmetric matrices' has a basic flaw since odd ordered skew symmetric matrices are always singular. Paper 1 was a moderately difficult paper.

- Q.No.1 to 7 - Single Correct Choice Type (7 questions for 21 marks). +3 for correct answer and -1 for wrong answer
- Q.No. 8 to 11 - Multiple Correct Choice Type (4 questions for 16 marks). +4 for correct answer with NO negatives
- Q.No. 12 to 16 - Paragraph Type(5 questions for 15 marks). There were 2 paragraphs- one paragraph with 2 questions and the second one with 3 questions. All questions were of Single Correct Choice Type. +3 for correct answer and -1 for wrong answer
- Q.No.17 to 23- Integer Type (7 questions for 28 marks). Answers were of single digit (ie, 0 to 9) . +4 for correct answer with NO negatives.

Paper-2Paper 2 had 60 questions in total - in the order of Chemistry, Physics and Mathematics. Each subject had 20 questions and as in paper 1 the pattern was exactly the same across the subjects. Questions had differential markings, each subject had 80 marks and the maximum mark for the paper was 240.

Paper 2 of IIT-JEE 2011 was difficult compared to paper 1. Weightage wise the Physical > Organic > Inorganic formula is maintained. Generally the nature of the questions in Physical chemistry is calculation oriented and hence the difficulty. Also complexity of Organic questions made this paper a challenging one.

Questions from certain areas which were not represented in paper 1 (gravitation, optics etc.) appeared in paper 2 thus balancing the Syllabus coverage. The difficulty level of this paper was slightly less than paper 1 especially the Integer Answer Type.

Paper 2 Mathematics part was tougher than the first paper - for the complexity in combining topic areas, for e.g. the matrix match had questions from 4 different areas posing a challenge for the student in the exam hall. Likewise, this paper required more calculations in solving than the first paper. Overall Mathematics part of IIT-JEE 2011 was less difficuly and less time consuming than that of 2010. The second paper was restricted to lesser number of areas, for e.g. there were no questions from Trigonometry. But this time Differential Calculus and Coordinate Geometry were well

represented.

- Q.No.1 to 8 - Single Correct Choice Type (8 questions for 24 marks). +3 for correct answer and -1 for wrong answer
- Q.No. 9 to 12 - Multiple Correct Choice Type (4 questions for 16 marks). +4 for correct answer with NO negatives. There was NO partical marking as well.
- Q.No. 13 to 18 - Integer Type (6 questions for 24 marks). Answers were of single digit (ie, 0 to 9) . +4 for correct answer with NO negatives.
- Q.No.19 & 20- Matrix Match Type (2 questions with 4 rows each - for 16 marks). There were 4 elements in the first column to be matched with 5 elements in the second column. Each row carried 2 marks. There were NO negarive marking.

on Apr 11, 2011 | Computers & Internet

The symbol is called a CARET and normally sits between two

numbers.... the first is called a BASE and the second is EXPONENT.

The second number signifies the amount of times the first number

is to be multiplied by itself. (2^2=4). Hope this helps.

Regards,

Dennis

numbers.... the first is called a BASE and the second is EXPONENT.

The second number signifies the amount of times the first number

is to be multiplied by itself. (2^2=4). Hope this helps.

Regards,

Dennis

Aug 16, 2014 | Mathematical Technologies Inc. MTI Tristan...

Archimedes is the Father of Mathematician and he contributed a lot in mathematics. He gave the basic concepts of Calculus. Moreover, he also gave various other mathematics concepts. Most of the people think that Euclid is the father of mathematics but they are wrong because Euclid is the father of geometry.

Feb 23, 2011 | Mathsoft StudyWorks! Mathematics Deluxe...

In mathematics, a division is called a **division by zero** if the divisor is zero. Such a division can be formally expressed as *a* / 0 where *a* is the dividend. Whether this expression can be assigned a well-defined value depends upon the mathematical setting. In ordinary (real number) arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives *a* (*a*?0).

In computer programming, an attempt to divide by zero may, depending on the programming language, generate an error message or may result in a special not-a-number value (see below).

Historically, one of the earliest recorded references to the mathematical impossibility of assigning a value to*a* / 0 is contained in George Berkeley's criticism of infinitesimal calculus in *The Analyst*; see Ghosts of departed quantities.

In computer programming, an attempt to divide by zero may, depending on the programming language, generate an error message or may result in a special not-a-number value (see below).

Historically, one of the earliest recorded references to the mathematical impossibility of assigning a value to

Sep 03, 2010 | Computers & Internet

The answer is "22". It also means "2*44/4=22"

Apr 26, 2010 | Mathsoft StudyWorks! Mathematics Deluxe...

to much to answer. go to answers.com you can read tile the cows com home.

Apr 21, 2010 | Mathematical Technologies Inc. MTI Tristan...

What you need is a software that can perform what is called "symbolic calculus". For example to give you the answer on how looks the solution for the 2 grade equation a*x^2+b*x+c=0. There are two main software packages that can perform this: Maple (http://www.maplesoft.com) and Mathematica (http://www.wolfram.com).

For simple math questions you may also want to check: www.wolframalpha.com

For simple math questions you may also want to check: www.wolframalpha.com

Jun 13, 2009 | Mathsoft Mathcad 2001 Premium for PC

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