Thursday, December 24, 2020

Higher Secondary Board Examination ( HS-2021 ) : West Bengal Board of Higher Secondary Education

 The dates for Higher Secondary Board Examination ( HS-2021 ), West Bengal Council of Higher Secondary Education (WBCHSE) has been published by the council along with the dates of class XI examinations. The dates are given below. Please make sure these are tentative dates and are subjected to change following COVID-19 pandemic situation.





Monday, December 21, 2020

Law of Total Probability : Solved Problems

 Solved problems on theorem of total probability for CBSE, ISC and other state boards in India. 

Problem 1. A bag contains 3 white and 2 red balls and another bag contains 2 white and 4 red balls. A ball is taken from the first bag and without seeing its colour is put in the second bag. A ball is taken from the latter. Find the probability that the ball drawn is red.

Problem 2. The ratio of the number of boys to the number of girls in a class is 1:2. It is known that the probabilities of a girl and a boy getting a first division are 0.25 and 0.28 respectively. Find the probability that a student chosen at random will get first division.

Problem 3. A bag contains 3 white and 6 black balls and another bag contains 6 white and 3 black balls. A bag is selected at random and a ball is drawn. Find the probability that the ball drawn is of white colour.

Problem 4. Two machines A and B produce respectively 60% and 40% of the total number of items of a factory. The percentage of defective output of these machines are respectively 2% and 5%. If an item is selected at random, what is the probability that the item is defective?

Problem 5. There are two bags. The first bag contains 5 red and 3 black balls and the second bag contains 3 red and 5 black balls. Two balls are drawn at random from the first bag and are put into the second bag without noting their colours. Then two balls are drawn from the second bag. Find the probability that the balls drawn are one red and one black.

Problem 6. There are two bags. The first bag contains 5 red and 3 black balls and the second bag contains 3 red and 5 black balls. Two balls are drawn at random from the first bag and are put into the second bag without noting their colours. Then two balls are drawn from the second bag. Find the probability that the balls drawn are one red and one black.

Problem 7. A bag X contains 3 white and 2 black balls and another bag Y contains 2 white and 4 black balls. A bag and a ball out of it is picked at random. What is the probability that the ball is white?

Problem 8. An urn contains m white and n black balls. A ball is drawn at random and is put back into the urn along with k additional balls of the same colour as that of the ball drawn. A ball is again drawn at random. What is the probability that the ball drawn now is white?

Problem 9. An urn contains m white and n black balls. A ball is drawn at random and is put back into the urn along with k additional balls of the same colour as that of the ball drawn. A ball is again drawn at random. What is the probability that the ball drawn now is white?

Problem 10. A person has undertaken a construction job. The probabilities are 0.65 that there will be strike, 0.80 that the construction job will be completed on time if there is no strike, and 0.32 that the construction job will be completed in time if there is a strike. Determine the probability that the construction job will be completed in time.

Problem 11. A survey is carried out to find the percentage of men who sing in the bathroom. Because some people may be too embarrassed to admit openly to be bathroom singers, each person question is asked to roll a die in secret and answer NO if the number shown is 1 and YES if it is 6, no matter what the true answer is, but to tell the truth (YES or NO) if 2,3,4 or 5 comes out. Because the number shown is not revealed, it is impossible to tell from the answer given whether the person is a bathroom singer or not. Suppose that the probability of answering YES in this survey is found to be 2/3. What is the probability of being a bathroom singer, then?

 SOLUTION:



Friday, December 11, 2020

HS XII Mathematics PROJECT 2024-25

Preparation of Project Work- Mathematics

Each student has to select one topic from Group-A and  topic no. 6 from Group-B. Two separate files must be made. (one for each group)

Date of submission: On first day after Puja Vacation 

Project can be written in Bengali or English. 

The cover page must clearly contain the following information:

NAME OF SCHOOL

STUDENT'S NAME, 

CLASS, SECTION & ROLL NUMBER

SUBJECT

TOPIC 

GROUP A or B

REGISTRATION NUMBER

The same information must also be registered on the first page of your copy.

Topic Group-A ( Choose any one of the following)


                 Topic Group-B ( Only Topic 6 from this group)




IMPORTANT INSTRUCTIONS:


        I. Don't print and paste images, tables or graphs from the internet. If any graph or sketch is needed, you must prepare it on your own using graph paper & pencil.

        II. Give proper examples and diagrams as needed.

        III. USE SEPARATE COPIES FOR DIFFERENT GROUP.

        IV. USE COPIES PROVIDED BY THE SCHOOL. 

        V.  Write on one side of the paper.

Project Writing: 

Use the following structure to complete your project:

Cover Page: All details as described earlier.
First Page: Same details as on cover page.
Second Page: Write the topic in detail as it is.

Then divide your work in the following sections:
            1. INTRODUCTION
            2. DESCRIPTION
            3. CONCLUSION
            4. BIBLIOGRAPHY

Marks Distribution: (20 Marks)

        Presentation: 4 (Group-A) + 4 (Group-B)
        Note Book: 4 (Group-A) + 4 (Group-B)
        Viva-Voce: 4 
        

Tuesday, November 17, 2020

Assessment and Solved Problems: SET THEORY -XI Science

Please go through the slides one by one and solve the questions that would appear on the slides.

Solved Problems: Set Theory - 11 Science



Assessment on set theory. Answer all questions. Each question carries 1 mark and has only one correct option. Please enter a valid e-mail address. If you have any query, leave your comment in the comment box. 

Class Test: 

Total time: 40 mins  ( 6 pm - 6:40 pm )                                            Full Marks: 15

Thanks for participating, those who have not given the test should clarify for the same:

Scores:

11/18/2020 18:13:53saya****@gmail.com7 / 15Sayan Saha 04
11/18/2020 18:20:28deb***ari23@gmail.com6 / 15Debjit Kushari roll:- 07
11/18/2020 18:20:47sa**as6767@gmail.com9 / 15Saima das 14 A
11/18/2020 18:21:09di***g147@gmail.com5 / 15Disha Ghosh 16
11/18/2020 18:25:25dha***nk@gmail.com8 / 15Subhadeep Dhar - 05
11/18/2020 18:26:54ta****nog@gmail.com5 / 15Tamaghno Ghosh roll–3
11/18/2020 18:35:01ag****dhar@gmail.com10 / 15Ritam Dhar.ROLL NO A-2.
11/18/2020 18:36:07mistr***885@gmail.com5 / 15Jayanti Mistri 15A
11/18/2020 18:39:12shre*****47@gmail.com5 / 15Shreya majumdar.18
11/18/2020 18:39:39kau****74@gmail.com10 / 15Kaushik kundu...Roll no.-6A
11/18/2020 18:40:22tap***572@gmail.com9 / 15Meghasree Mandal -11
11/18/2020 18:41:43tap***etro@gmail.com4 / 15Tanmesh Mondal/A-17

Delayed Submission due to some technical issue:

11/18/2020 19:04:33jai***s106@gmail.com11 / 15Jaita Das

Test conducted on the request of the student:
11/19/2020 18:36:35dh****jna@gmail.com13 / 15Mourya Vedajna, 20

You can't lie to your soul.

Friday, September 18, 2020

Partial Differentiation: SOLVED PROBLEMS FOR College Level Students ( Engineering and Maths Major )

Solved Problem from the topic of Partial Differentiation for Mathematics Major Students and college level and engineering students. 






SET-1 Partial Differentiation ( Direct Problems ) PDF File
SET-II Chain Rule 
To be available soon.
SET-III Euler's Theorem 

Sunday, September 13, 2020

TRIGONOMETRY : TRIGONOMETRICAL RATIOS SOLVED PROBLEMS FOR 10TH GRADE CBSE ICSE OTHER STATE BOARDS

 

TRIGONOMETRY : TRIGONOMETRICAL RATIOS SOLVED PROBLEMS FOR 10TH GRADE ( CBSE, ICSE AND OTHER STATE BOARDS). SUBSCRIBE FOR MORE SOLVED PROBLEMS WHICH WILL BE UPLOADED SOON.

Trigonometric ratios are the ratios between edges of a right triangle. These ratios are given by the following trigonometric functions of the known angle A, where ab and c refer to the lengths of the sides in the accompanying figure:

  • Sine function (sin), defined as the ratio of the side opposite the angle to the hypotenuse.
  • Cosine function (cos), defined as the ratio of the adjacent leg (the side of the triangle joining the angle to the right angle) to the hypotenuse.
  • Tangent function (tan), defined as the ratio of the opposite leg to the adjacent leg.
If you have any query feel free to connect us at any of the following platforms. Free help for your queries. Helping Students! Feel free to send your problems. Follow us on the most popular platforms. Whatsapp: +91-9038126497

Thursday, September 10, 2020

SOLVED ISC MATHEMATICS BOARD SPECIMEN PAPER 2021

Get the solved ISC Mathematics Board Specimen Paper 2021 as provided by the official website of the board COUNCIL FOR THE INDIAN SCHOOL CERTIFICATE EXAMINATIONS

This is not a guess paper, every year the board provides a specimen paper for the students to help gain an insight of the structure they will be facing during their board examination. Students can expect a similar pattern while the degree of difficulty may vary. 

Don't forget to comment if you have any question. Get the mock test paper for ISC 2021 Mathematics by mailing us. 

For any query or help Whatsapp

E-mail: prime.maths@hotmail.com 

ISC Mathematics Board Specimen Paper 2021

ISC Mathematics Board Specimen Paper 2021 - Solution 

ISC Mock Test Paper 2021 ( Free Copy -On request )



Thursday, September 3, 2020

CBSE MATHS PAPER SOLVED 2020

The Central Board of Secondary Education (CBSE) conducted the class 12 annual board exam of mathematics on 17th of March 2020. Here is the solved CBSE MATHS PAPER  2020.

The question paper of class 12 Mathematics is divided into four sections- A, B, C and D. All questions are compulsory. 

Section A carries 20 questions of 1 mark each.

Section B carries 6 questions of  2 mark each.

Section C carries 6 questions of 4 mark each.

Section D carries 4 questions of 6 mark each.

Click here to download CBSE class 12 Mathematics Question Paper


Click here to download CBSE class 12 Mathematics Question Paper Solution.

Monday, August 31, 2020

Relations and Functions

Solved problem form the unit Relations and Functions and Inverse trigonometric Functions at 10+2 level. Here you will find numerous solved problems covering all aspects of the chapter. Learn through the method of problem solving. Variety of problem across all major boards in India. (CBSE, ISC, WBHSE and other State Boards). If you have any query just comment in the comment box.

Worksheet - Relations

Solved Problems - Relations 

Solved Problems -Functions  

Solved Problems- Binary Relations

Inverse Trigonometric Functions - Set I 

Inverse Trigonometric Functions - Set II

Try out this challenge from #Algebra.

Posted by Prime Maths on Tuesday, 25 August 2020

Saturday, August 29, 2020

A challenging problem from Geometry

 

The triangle ABC is given. Let T be circle passing through vertex A and intersecting sides AB and AC in points D and E respectively. Let T' be circle passing through vertex B and point D, intersecting side BC and the circle T in points F and T, respectively. Prove that the quadrilateral CEFT is cyclic.


For solution click here: Solution

Tuesday, August 25, 2020

ISC MATHEMATICS BOARD PAPER 2020 SOLVED

ISC Class 12 Papers 2020 for mathematics is available here for download in PDF format. The previous year papers of ISC Class 12 Board Exams are very useful for the students who are going to appear for ISC Class 12 Board Exams 2020. Links to download ISC Class 12 Mathematics Paper is given below along with the solution.

Don't' forget to comment your queries.

ISC MATHEMATICS BOARD QUESTION PAPER 2020

ISC MATHEMATICS BOARD PAPER 2020 SOLVED

Sunday, August 23, 2020

ISC MATHS BOARD PAPER 2019 - SOLVED

ISC Class 12 Papers 2019 for mathematics is available here for download in PDF format. The previous year papers of ISC Class 12 Board Exams are very useful for the students who are going to appear for ISC Class 12 Board Exams 2020. Links to download ISC Class 12 Mathematics Paper is given below along with the solution.

ISC Maths Paper 2019

ISC Maths Paper 2019- Solution

Wednesday, August 12, 2020

Solved Problems on Differentiation

Hundreds of solved problems at 10+2 level or the final year at school from the topic of differentiation. The aim of the document to help students from different boards (ISC, CBSE and other State Boards) studying at Higher Secondary level to get access to wide variety of problems, that too solved!

This should not be substituted for classroom teaching neither this documents aims to teach the theories of differentiation. Students are requested to go through the theory and the rules before looking at the problems. Any error in the document can be reported at: prime.maths@hotmail.com

First Order Differentiation, Implicit Functions, Parametric Differentiation, Differentiation of Logarithmic Functions, Second Order Differentiation, Chain Rule, Composite functions.

If you have any query, don't forget to comment below.

Click below the links to download the files:

LIMITS Solved Problems on Limits
File 1 Basic Differentiation Problems 
File 2 Derivatives of Logarithmic Functions
File 3 Derivatives of Parametric Equations 
File 4 Long Answer Type ( First Order Mixed Problems)
File 5 Second Order Differentiation 

More solved problems to follow. Keep visiting this space.

Monday, July 20, 2020

Term of a sequence 1,2,2,3,3,3,4,4,4,4....

Can you solve this problem? In #mathematics, a #sequence is an enumerated collection of objects in which repetitions are allowed and order does matter. Like a set, it contains members (also called elements, or terms).
#Solution https://t.me/PrimeMaths/50
#PrimeMaths #Algebra


Saturday, July 18, 2020

Gergonne triangle

The Gergonne triangle of triangle ABC is defined by the three touchpoints of the incircle on the three sides. This Gergonne triangle, is also known as the contact triangle or intouch triangle of triangle ABC.

#Solution: https://t.me/PrimeMaths/47

#Geometry #PrimeMaths
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