Monday, October 4, 2021

Surds Practice Problem Set

In Mathematics, surds are the values in square root that cannot be further simplified into whole numbers or integers. Surds are irrational numbers. The examples of surds are √2, √3, √5, etc., as these values cannot be further simplified. If we further simply them, we get decimal values, such as:

√2  = 1.4142135…

√3 = 1.7320508…

√5 = 2.2360679…


Surds Definition

Surds are the square roots  (√) of numbers that cannot be simplified into a whole or rational number. It cannot be accurately represented in a fraction. In other words, a surd is a root of the whole number that has an irrational value. Consider an example, √2 ≈ 1.414213. It is more accurate if we leave it as a surd √2.

Surds Worksheet

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Surd-Practice-I
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Surd-Practice-II
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Surd-Practice-III

Tuesday, September 28, 2021

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 AddressScoreNameRoll NumberSection
son*****22@gmail.com4 / 20Nilhitbose15A
tape*****87@gmail.com12 / 20Trishanu bose16A
deypriya***0@gmail.com4 / 20Priyangshu Dey27C
monda***10@gmail.com4 / 20Sudipto Mondal22B
indro****53@gmail.com6 / 20Indrajit Biswas33A
sg****81@gmail.com6 / 20Sohan Ghosh49C
an****21@gmail.com4 / 20Dhrudip Jit46C
dasm****sree6@gmail.com18 / 20Debraj Das34A
ro***ory9@gmail.com0 / 20Rxohit43A
goutam****066@gmail.com20 / 20GOUTAM SARKAR33B
bijoy*****ar5764@gmail.com4 / 20Pallab naskar34C
nemai****i@gmail.com6 / 20Shantanu Moni5B
pra******abhuyadav575@gmail.com2 / 20Prabhu38B
debr***lder267@gmail.com4 / 20Debraj37B
ss****051@gmail.com8 / 20Sk sohel32C
bar****chin84@gmail.com4 / 20Sanjoy barui42A
malli****heb958@gmail.com6 / 20Saheb Mallick12B
ayan****nshi69@gmail.com6 / 20Ayan Rajbanshi31B
dp****105@gmail.com4 / 20Arghya paul43A
i***a@gmail.com10 / 20DEBJIT SAHA13B
sanka****ardar.ss@gmail.com4 / 20Twisampati Sardar6B
mohakg****2020@gmail.com16 / 20Mohak Ganguly4A
sriab****t257@gmsil.com18 / 20Avi Roy25A
si*****se86@gmail.com16 / 20Sayan Bose40B
kh*****manick162@gmail.com18 / 20Arnob pramanik35A
hrithik*********r086@gmail.com2 / 20Hrithik Sarkar48C
bha*****jeedwip75@gmail.com4 / 20Dwip Bhattacherjee31A
dyn***18@gmail.com18 / 20Shibam Das18B
debjitp***a344@gmail.com14 / 20Debjit panda18A
ja****akash27@gmail.com14 / 20AKASH YADAV21C
mond****s47@gmail.com2 / 20Soumya deep mondal18C
meg****otom@gmail.co10 / 20Meghabroto mondal10A
jhu****ondal@gmail.com4 / 20Aishik Mondal20A
rum****552@gmail.com16 / 20Soumyadeep Das29A
ajo***461@gmail.com6 / 20Ayendu Paul19A
ari***mpa@gmail.com16 / 20Arit Mondal28A
shi***mdas04@gmail.com12 / 20Shibram Das29C
saya****ersayanhalder9@gmail.com6 / 20Sayan Halder26A
das**40@gmail.com18 / 20Suman das37A
avis**867@gmail.com8 / 20Avishek Bose10C
swap*rmistry5@gmail.com18 / 20Subhadeep Mistry41A
subhr***armakar942@gmail.com18 / 20Subhrajeet karmakar4B
das***8691@gmail.com10 / 20Angshu Das33B
rup***tacharjee2006@gmail.com12 / 20Rupam Bhattacharjee9A
tub***89@gmail.com4 / 20Priyojit Ghosh4B
mond***hik2021@gmail.com16 / 20Aishik Mondal21A
ber***bu71@gmail.com4 / 20Subhojit Bera5C
kun***ita000@gmail.com6 / 20Soumojit kundu4C
p**087@gmail.com6 / 20Pradip mondal20C
panchen****thmajhi@gmail.com12 / 20Aditya Majhi12A
Dpr***806@gmail.com10 / 20Prem das11C
mun***39@gmail.com16 / 20Shiva jadav17A
aruppat***367@gmail.com10 / 20Arup patra3C
abhi**238@gmail.com12 / 20Abhisek yadav32A
jit***166@gmail.com12 / 20Nilanjan Das14A
ad2***76@gmail.com14 / 20ANKUR DAS10B
K**dal1086@gmail.com14 / 20Rana mondal37C
prit***as104@gmail.com10 / 20Pritam Das6C


ANSWER KEY:
WILL BE AVAILABLE AFTER THE EXAM

Saturday, September 25, 2021

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

Thursday, July 22, 2021

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 

Tuesday, May 18, 2021

Inverse Laplace Transformation

Indian Statistical Institute B.Math & B.Stat Solved Problems, Vinod Singh ~ Kolkata

 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

 

 

 

 

(Eq.1)

where s is a complex number frequency parameter

, with real numbers Ïƒ and Ï‰.

An alternate notation for the Laplace transform is  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:

Sunday, May 16, 2021

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

Friday, February 19, 2021

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 :) 

Wednesday, January 20, 2021

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.


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.





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