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Lesson Posted on 08/06/2019 CBSE CBSE/Class 10/Mathematics Exam Coaching/CET Coaching/Mathematics

Nikhil Sethi

1. 4 Years of diverse Teaching students across Delhi NCR. 2. Handled Virtual Classes as well. 3....

Attempt: Attempt all the questions whether you know the answer or not. Neat and clean: Answer sheet should be neat and clean. Do not forget to cut the rough work done. Avoid overwriting. Observant: Always note the terms and digits from the question paper carefully. Organised: Question paper must... read more

Attempt all the questions whether you know the answer or not.

Answer sheet should be neat and clean. Do not forget to cut the rough work done. Avoid overwriting.

Always note the terms and digits from the question paper carefully.

Question paper must be solved in serial order from 1 to 30. If you don`t know the solution for a particular question, leave the space for that.

Never lose your patience during the exam. If you do not know the answer to any question, do not lose your patience. Move ahead and after completing rest of the questions, take a long breathe and think about the concepts involved in that particular question. This will definitely help you to recall some steps of that question.

•Read the question paper with full concentration.

•First, attempt those questions which you are sure about.

•Mention the formula and put the values while solving your question as there is a criterion of step marking.

•Use pencil and scale to draw the figures. Never draw a figure with the use of a pen.

•If your writing is poor, then you can write leaving some space in between two words.

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Lesson Posted on 24/09/2018 CBSE/Class 11/Science/Mathematics/Unit-II: Algebra/Permutations and Combinations IIT JEE/IIT JEE MAINS IIT JEE/IIT - JEE Mains/Mathematics/Permutations and Combinations

Om Prakash Mishra

I am teaching Mathematics and Physics from past more than 12 years in coaching as well as home tuition...

When things are arranged in a circle then number of permutations ( arrangements ) is calculated in the following way : Since one of the objects is always fixed in its position so the total number of objects to be arranged gets reduced by 1. So if total n objects are there then no of permutations will... read more

When things are arranged in a circle then number of permutations ( arrangements ) is calculated in the following way :

Since one of the objects is always fixed in its position so the total number of objects to be arranged gets reduced by 1.

So if total n objects are there then no of permutations will be

(1) when clockwise and anticlockwise permutations are counted different = (n-1)!

(2) when clockwise and anticlockwise are not counted different = (n-1)!/2

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Lesson Posted on 24/09/2018 IIT JEE/IIT - JEE Mains/Physics/Kinematics CBSE/Class 11/Science/Physics CBSE/Class 11/Science/Physics/Unit 2-Kinematics/Chapter 4-Motion in a Plane

Om Prakash Mishra

I am teaching Mathematics and Physics from past more than 12 years in coaching as well as home tuition...

Dot or Scalar Product of Vectors Dot Product of two vectors A and B is defines as product of magnitude of the vectors and cosine of the angle between them. A•B = |A||B|CosT, Where T is the angle between the vectors A and B. It is a scalar quantity Special Cases (I) If two vectors are perpendicular... read more

**Dot or Scalar Product of Vectors**

Dot Product of two vectors ** A **and **B **is defines as product of magnitude of the vectors and cosine of the angle between them.

**A•B = |A||B|CosT, **Where T is the angle between the vectors **A** and **B.**

It is a scalar quantity

**Special Cases**

(I) If two vectors are perpendicular to each other their dot product is Zero.

(ii) If two vectors **A **and B are parallel their dot product is |A||B|.

If **i, j, k **are unit vectorsalong X, Y, Z axis respectively then

**i.i = 1**

**j.j = 1**

**k.k = 1**

**i.j = 0**

**j.k = 0**

**K.i = 0. **

* Note : Scalar product is commutative *

*i.e. ***A.B = B.A**

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Comments 1 Lesson Posted on 24/09/2018 CBSE/Class 11/Science/Physics CBSE/Class 11/Science/Physics/Unit 2-Kinematics Exam Coaching/CET Coaching/Physics

Om Prakash Mishra

I am teaching Mathematics and Physics from past more than 12 years in coaching as well as home tuition...

Law of the addition of vectors (1) Parallelogram law of addition of vectors: It states that if two vectors are represented in direction and magnitude by two sides of a parallelogram, then their resultant is given by the diagonal passing through their common point. (2) Triangle law of addition of vectors If... read more

**Law of the addition of vectors**

**(1) Parallelogram law of addition of vectors:** It states that if two vectors are represented in direction and magnitude by two sides of a parallelogram, then their resultant is given by the diagonal passing through their common point.

**(2) Triangle law of addition of vectors**

If two vectors are represented in direction and magnitude by two adjacent sides of a triangle taken in the same order, then their resultant is given by the third side taken in opposite order.

**(3) Polygon law of addition of vectors**

If any number of vectors are represented in magnitude and direction by sides of a polygon taken in the same order, then their resultant is given by the closing side taken in opposite order.

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Comments Lesson Posted on 24/09/2018 CBSE/Class 12/Science/Mathematics/Unit IV: Vectors and Three-Dimensional Geometry/Vectors CBSE/Class 11/Science/Physics/Unit 2-Kinematics Vectors

Om Prakash Mishra

Vector or Cross product of vectors It is defined as product of magnitude of the vectors and sine of the angle between them it is a vector quantity. For two vectors A and B A × B = |A||B| SinTn where T is the angle between the vectors A and B. and n is unit normal vector perpendicular to... read more

**Vector or Cross product of vectors **

It is defined as product of magnitude of the vectors and sine of the angle between them it is a vector quantity.

For two vectors **A** and **B **

**A × B = |A||B| **SinTn

where T is the angle between the vectors **A **and **B. **and **n **is unit normal vector perpendicular to both **A **and **B.**

This product is a vector quantity again which is in a plane perpendicular to both the given vectors.

• It is not anticommutative. i.e. **A×B =-B×A. **

If **i, j, k **are unit vectors along X, Y, Z axis respectively then .

**i×i = j×j = k×k = 0.**

**i×j = k**

**J×k = i**

**k×i = j**

**j×k = -k**

**k×j =-i**

**i×k =-i.**

** **

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Comments Lesson Posted on 21/09/2018 CBSE/Class 11/Science/Mathematics CBSE/Class 11/Science/Mathematics/Unit-II: Algebra/Permutations and Combinations Exam Coaching/CET Coaching/Mathematics

Om Prakash Mishra

Permutation means arrangement Fundamental principles of counting If a work can be done in m ways and the either can be done in n ways, then the no .of ways in which both the works can be done is m×n ways. But if they are done I depend on each other that is doing of one does not affect the other,... read more

Permutation means arrangement

Fundamental principles of counting

If a work can be done in m ways and the either can be done in n ways, then the no .of ways in which both the works can be done is m×n ways.

But if they are done I depend on each other that is doing of one does not affect the other, then it is m+n.

The no of ways in which n different things can be arranged is n! Which is equal to

n!=n ×(n-1)×.....×2×1.

The no. of ways in which r things out of n things can be arranged is

n^P^r = n!/(n-r)!.

If any particular object is repeated p, q.. times then the result is divided by p! q!... respectively to get the desired permutation.

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Comments 1 Lesson Posted on 16/09/2018 CBSE/Class 12/Science/Mathematics CBSE/Class 12/Science/Mathematics/Unit III: Calculus IIT JEE/IIT JEE MAINS/Mathematics

Om Prakash Mishra

To find maximum and minimum value of a given function. Differentiate the function first and then find the values of x at which the function becomes zero these are the possible points of Maximum and minimum values of the function then apply any of the following test (1) 1st derivative test: If at any... read more

**To find maximum and minimum value of a given function**.

Differentiate the function first and then find the values of x at which the function becomes zero these are the possible points of Maximum and minimum values of the function then apply any of the following test

**(1) 1st derivative test:** If at any of the above values of x dy/dX changes its sign from +ve to -ve then that is a point of local Maxima.

And if dy/dX changes sign from -ve to +ve that is a point of local minima.

**(2) 2nd derivative test:** Find the 2nd derivative and put the above values of x obtained if it comes -ve that is a point of local Maxima and if it comes +ve that's a point of local minima.

Note: there can be more than 1 point of local Maxima and Minima

**Global Maximum and Minimum**: put all the values of x obtained in the function and check which one is largest, that value correspond to Global Maxima and that vale is global maximum. Similarly check for Global minima.

**Note**:sometimes 2nd derivative test fails i.e it becomes zero that that point is called point of inflection. Then check with first derivative test.

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Comments Lesson Posted on 20/08/2018 Exam Coaching/Law Entrance Exam Coaching/CLAT Coaching Exam Coaching/CET Coaching Exam Coaching/Law Entrance Exam Coaching/LAWCET Coaching

Siddhartha singh Chandel

I did masters in Electronics in 2011 later I joined DRDO govt of India where I worked on artificial intelligence....

Earlier Law was classified broadly into two categories first one civil law and the second one criminal law. But the philosopher like Austin etc. are not agreed with this concept, so a globalisation approach to classifying the Law was adopted and according to that Law can be classified into the following... read more

Earlier Law was classified broadly into two categories first one civil law and the second one criminal law. But the philosopher like Austin etc. are not agreed with this concept, so a globalisation approach to classifying the Law was adopted and according to that Law can be classified into the following two categories.

1.International Law

2. Municipal Law

Further International Law can be classified into two categories

1. Public Law- There is some etiquette between two countries or more than two countries that should be followed accordingly.

2 Private law - It is between any sovereign country and a party

Municipal Law is based on the Law which is in the territory of any Nation.It can be classified into three categories

1. Constitutional Law- That describes the nature of the three organs of a country, i.e. Legislative Judiciary and Executive

2. Administrative law- It describes the relationship between different government bodies. How they have to function in inter-ministerial work

3. Criminal Law- If a person intentionally or not intentionally doing any act of crime then he is dangerous to our social system So criminal Law is very Important

Apart from the above the law there is the various law that depends on place time custom etc. but the primary motive of an act should be that it reflects the spirit of the common man.

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Answered on 25/08/2018 Exam Coaching/CET Coaching/Biology

Sec (90×1+30)

= - Cosec30

= - 2

Atul Mittal

Most Qualified MBA Home Tutor Teaching in TIME CP from 13 Yrs

-2

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