Assessment Class X: Kumar Ashutosh Institution (Main) Boys'

Assessment Class X: Kumar Ashutosh Institution (Main) Boys' 

Mathematics Test on Monday (4th October) 4/10/2021

Full Marks: 20

Time: 40 minutes ( 11:00 am to 11:40 am )

Test Mode: Online with Google Form

All questions will be MCQ type. You need to selected the correct answers

of all the questions and submit the google form before 11:40 am 

There are 10 questions in total. Answer all the questions.

You must enter your e-mail ID, name, section and roll number in the respective fields before answering the questions.

You must positively submit the form before 11:40 am on the exam date. 

You will get the following confirmation message on submission.

You have submitted your google form successfully.

For any query contact Sumon Sen ( A.T Mathematics )

Scores

Email Address	Score	Name	Roll Number	Section
son*****22@gmail.com	4 / 20	Nilhitbose	15	A
tape*****87@gmail.com	12 / 20	Trishanu bose	16	A
deypriya***0@gmail.com	4 / 20	Priyangshu Dey	27	C
monda***10@gmail.com	4 / 20	Sudipto Mondal	22	B
indro****53@gmail.com	6 / 20	Indrajit Biswas	33	A
sg****81@gmail.com	6 / 20	Sohan Ghosh	49	C
an****21@gmail.com	4 / 20	Dhrudip Jit	46	C
dasm****sree6@gmail.com	18 / 20	Debraj Das	34	A
ro***ory9@gmail.com	0 / 20	Rxohit	43	A
goutam****066@gmail.com	20 / 20	GOUTAM SARKAR	33	B
bijoy*****ar5764@gmail.com	4 / 20	Pallab naskar	34	C
nemai****i@gmail.com	6 / 20	Shantanu Moni	5	B
pra******abhuyadav575@gmail.com	2 / 20	Prabhu	38	B
debr***lder267@gmail.com	4 / 20	Debraj	37	B
ss****051@gmail.com	8 / 20	Sk sohel	32	C
bar****chin84@gmail.com	4 / 20	Sanjoy barui	42	A
malli****heb958@gmail.com	6 / 20	Saheb Mallick	12	B
ayan****nshi69@gmail.com	6 / 20	Ayan Rajbanshi	31	B
dp****105@gmail.com	4 / 20	Arghya paul	43	A
i***a@gmail.com	10 / 20	DEBJIT SAHA	13	B
sanka****ardar.ss@gmail.com	4 / 20	Twisampati Sardar	6	B
mohakg****2020@gmail.com	16 / 20	Mohak Ganguly	4	A
sriab****t257@gmsil.com	18 / 20	Avi Roy	25	A
si*****se86@gmail.com	16 / 20	Sayan Bose	40	B
kh*****manick162@gmail.com	18 / 20	Arnob pramanik	35	A
hrithik*********r086@gmail.com	2 / 20	Hrithik Sarkar	48	C
bha*****jeedwip75@gmail.com	4 / 20	Dwip Bhattacherjee	31	A
dyn***18@gmail.com	18 / 20	Shibam Das	18	B
debjitp***a344@gmail.com	14 / 20	Debjit panda	18	A
ja****akash27@gmail.com	14 / 20	AKASH YADAV	21	C
mond****s47@gmail.com	2 / 20	Soumya deep mondal	18	C
meg****otom@gmail.co	10 / 20	Meghabroto mondal	10	A
jhu****ondal@gmail.com	4 / 20	Aishik Mondal	20	A
rum****552@gmail.com	16 / 20	Soumyadeep Das	29	A
ajo***461@gmail.com	6 / 20	Ayendu Paul	19	A
ari***mpa@gmail.com	16 / 20	Arit Mondal	28	A
shi***mdas04@gmail.com	12 / 20	Shibram Das	29	C
saya****ersayanhalder9@gmail.com	6 / 20	Sayan Halder	26	A
das**40@gmail.com	18 / 20	Suman das	37	A
avis**867@gmail.com	8 / 20	Avishek Bose	10	C
swap*rmistry5@gmail.com	18 / 20	Subhadeep Mistry	41	A
subhr***armakar942@gmail.com	18 / 20	Subhrajeet karmakar	4	B
das***8691@gmail.com	10 / 20	Angshu Das	33	B
rup***tacharjee2006@gmail.com	12 / 20	Rupam Bhattacharjee	9	A
tub***89@gmail.com	4 / 20	Priyojit Ghosh	4	B
mond***hik2021@gmail.com	16 / 20	Aishik Mondal	21	A
ber***bu71@gmail.com	4 / 20	Subhojit Bera	5	C
kun***ita000@gmail.com	6 / 20	Soumojit kundu	4	C
p**087@gmail.com	6 / 20	Pradip mondal	20	C
panchen****thmajhi@gmail.com	12 / 20	Aditya Majhi	12	A
Dpr***806@gmail.com	10 / 20	Prem das	11	C
mun***39@gmail.com	16 / 20	Shiva jadav	17	A
aruppat***367@gmail.com	10 / 20	Arup patra	3	C
abhi**238@gmail.com	12 / 20	Abhisek yadav	32	A
jit***166@gmail.com	12 / 20	Nilanjan Das	14	A
ad2***76@gmail.com	14 / 20	ANKUR DAS	10	B
K**dal1086@gmail.com	14 / 20	Rana mondal	37	C
prit***as104@gmail.com	10 / 20	Pritam Das	6	C

ANSWER KEY:

WILL BE AVAILABLE AFTER THE EXAM

Assessment Class IX: Kumar Ashutosh Institution (Main) Boys'

Mathematics Test on Saturday (25/09/2021)

Full Marks: 40

Time: 1hr 45 minutes ( from 12:00 to 1:45 pm )

Test Mode: Online with Google Form

All questions will be MCQ type. You need to selected the correct answers

of all the questions and submit the google form before 1:45 pm.

All questions must be answered or else you wont be able to submit the form.

You must enter your e-mail ID, name, section and roll number in the respective fields

before answering the questions.

The link for the questions will be send on Saturday minutes before the test. 

Syllabus : Chapters 15,16,18,19,20,21

MARKS DISTRIBUTION

TOTAL NUMBER OF QUESTIONS: 14 [Full Marks 40]

6 questions will carry 2 marks each     6 X 2 = 12

4 questions will carry 3 marks each     4 X 3 = 12

4 questions will carry 4 marks each     4 X 4 = 16 [12 +12 + 16 = 40 ]

For any query call 9038126497 ( Vinod Sir - A.T Mathematics)

SCORES:

ANSWER KEY

STRAIGHT LINE IN 3D : XII

 

Solution to Social Media Post: 22-07-2021 : Geometry

 

Two chords AC and BD of a circle intersect each other at the point O. If two tangents drawn at the points A and B intersect at the point P and two tangents drawn at the points C and D intersect at the point Q, prove that angle P + angle Q = 2 angle BOC 

Inverse Laplace Transformation

 In mathematics, the Laplace transform, named after its inventor Pierre-Simon Laplace is an integral transform that converts a function of a real variable  (often time) to a function of a complex variable  (complex frequency). The transform has many applications in science and engineering because it is a tool for solving differential equations. In particular, it transforms differential equations into algebraic equations and convolution into multiplication.

The Laplace transform of a function f(t), defined for all real numbers t ≥ 0, is the function F(s), which is a unilateral transform defined by

${\displaystyle F(s)=\int _{0}^{\infty }f(t)e^{-st}\,dt}$

(Eq.1)

where s is a complex number frequency parameter

${\displaystyle s=\sigma +i\omega }$, with real numbers σ and ω.

An alternate notation for the Laplace transform is ${\displaystyle {\mathcal {L}}\{f\}}$ instead of F.

Get solution of the following problems.

Evaluate $\mathcal{L} \{ \sin^2 at \}$ $$$$ Evaluate $\mathcal{L} \{ e^{-2t} ( 3\cos 6t - 5 \sin 6t) \}$ $$$$ Evaluate $\mathcal{L} \{ e^{-2t} ( 3\cos 6t - 5 \sin 6t) \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{\alpha}{s-2} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{1}{(s-1)(s-2)} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{3s-2}{s62-4s+20} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{1+s^8}{s^9)} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{s}{s^2+2}+ \frac{6s}{s^2-16}+\frac{3}{s-3} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{1}{(s+2)^2(s-2)} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{1}{s^2-6s+10} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{3s+7}{s^2-2s-3} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{1}{(s+a)^3} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{s}{(s^2-a^2)^2} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{s}{(s^2+a^2)^2} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{s^2}{(s^2+2^2)^2} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{1}{s^2+6s+13} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{1}{(s^2+1)(s^2+4s+5)} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{3s^2+10s+3}{(s^2+1)(s^3+4s62+5s+2)} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{2s+7}{(s+3)^4} \}$ $$$$ Evaluate $\mathcal{L}^{-1} \{ \frac{s+3}{(s^2+4)^2} \}$ $$$$ Download the file below:

Geometry Solved Problems : Circles

Solved problems on circles for class X. Get solutions of problems shown in the post and many more. Visit the link Solved Problems: Circles

Trigonometry: Solved Problems

Solutions of Triangle is an important topic in the JEE Main and JEE Advanced and in class XI for CBSE and other state boards in India. This topic comprises various formulae and rules like the sine rule, cosine rule, tangent rule etc. Questions based on the application of these formulas are often asked in exams. Revising these problems will help students to remember them and easily solve other questions of similar type and also apply their learning to new problems:

Solved Problems from the Book of S.L Loney Plane Trigonometry: CLICK HERE

More Problems to follow soon :) 

WORKSHEET RELATION AND FUNCTIONS: CLASS XI

 In relations and functions Class 11, you will learn the cartesian product of sets along with relations and functions. In our day-to-day life, we have known the term relations in a pattern such as the relation between brothers and sisters, husband and wife or teacher and student. In Maths, the term relation is used to relate the numbers, symbols, variables, sets, group of sets, etc. For example, A is a subset of B denotes the relation of A and B. A function is a kind of relation which is operated between two quantities to yield output.

In this WORKSHEET, we will provide you with the relations and functions class 11 PROBLEMS, so that it would be easier for you to learn and understand the concepts.

If you have any query please comment in the comment box.

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.

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:

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