CBSE CLASS XII Mathematics Term I Board Paper 2021 Solved

 

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-III

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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.