Dr KN Modi University, Tonk All Questions

In a triangle ABC cos(A+B)= cosAcosB-sinAsinB. cos(A-B)= cosAcosB+sinAsinB.

there by, by adding these two and multiplying the result by 2 times you get the desired answer. 4cosAcosB = 2[cos(A+B) + cos (A-B)]. This can also be done by interchanging the signs and the answer will remain the same.

Hey!

NO, I really dont think modern ABC is the appropriate book for NEET prep… Though it can help you with the 12 grade exams.

For NEET-UG,

1st, For the KNOWLEDGE part -primarily you should go for NCERT first surely and after that for extra knowledge Allen packages or Trueman’s for biology would be more than sufficient.

2nd, For the APPLICATION part- buy sample paper books of previous years question papers to practice ,after retaining the theoretical content.

Apply ur knowledge in the questions…!!

Using distance formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2) to find distance between two points A(x1, x2) and B(y1, y2), we can find the distance between A and B, B and C and A and C respectively.

We have, AB = sqrt((3-1)^2 + (5-k)^2)

= sqrt(2^2 + (5-k)^2

= sqrt(4 + (5-k)^2) (Equation 1)

BC = sqrt((6-3)^2 + (2-5)^2)

= sqrt(3^2 + (-3)^2)

= sqrt (18) (Equation 2)

AC = sqrt((6-1)^2 + (2-k)^2)

= sqrt(5^2 + (2-k)^2)

= sqrt((25 + (2-k)^2) (Equation 2)

Using Pythagoras theorem, we have AC^2 = AB^2 + BC^2

Substituting the values of AB, BC and AC from equation 1, 2 and 3 respectively, we have:

(sqrt((25 + (2-k)^2)) ^2   = (sqrt(4 + (5-k)^2)) ^2 + (sqrt (18))^2

= 25 + (2-k)^2 = 4 + (5-k)^2 + 18

= 25 + 4 + k^2 – 4k = 4 + 25 + k^2 -10k + 18

Rearranging and solving, we get, K = 3 (Answer)

Greetings Aspirant,

If the magnetic field along AB is  B , the force acting on BC=F=BiL

Now the length of the side AC is  Root"2L"

Also the current reverses the direction in this section as compared to that in BC.

Hence force on AC= Root"2"L( B× I )

= − Root"2"BILsin(45)

=−BIl=− F

If you are unable to understand the Answer I have uploaded an Image for Better Understanding.

https://drive.google.com/file/d/1e6gsucWKEXxS1si-XlTXIEmc11SRBq8K/view?usp=sharing

Hope My Answer Helped You.

Best Of Luck For Future.

Since A, B , C are the angles of a triangle and we know that the sum of all angles in a triangle is 180 degrees .

Consider A =5x

B=1x

C=6x

5x+1x+6x=180

12x=180

x=15 degrees

Angles A=5 X 15=75 degrees

B=15 degrees & C= 6X15= 90 degrees

By sine rule  we know that (a/sinA)=(b/sinB)=(c/sinc)=2R

hence a=2RsinA, b=2RsinB, c=2RsinC

a:b:c=2RsinA : 2RsinB : 2RsinC

=sinA : sinB : sinC

=sin75 : sin15 : sin90

Hi

As per your question the solutions is:

It is for the reason that ΔABC ~ ΔPQR

We know that the corresponding sides of similar triangles are in proportion.∴ AB/PQ = AC/PR = BC/QR

...(i)

Also, ∠A = ∠P, ∠B = ∠Q, ∠C = ∠R …(ii)

Since AD and PM are medians, they may divide their contrary sides.∴ BD = BC/2 and QM = QR/2 ...(iii)

From equations (i) and (iii), we get

AB/PQ = BD/QM ...(iv)

In ΔABD and ΔPQM,

∠B = ∠Q [Using equation (ii)]

AB/PQ = BD/QM [Using equation (iv)]

∴ ΔABD ~ ΔPQM (By SAS similarity criterion)⇒ AB/PQ = BD/QM = AD/P

Hope helpful.

Abhishek, if IIM A,B,C are your target Colleges, you should score nothing less than 98 percentile in CAT. With that huge competition, it is never too early to prepare. CAT is an online examination of 3 hours duration.The questions in the exam will be of MCQ and TITA type totaling 100 questions. MCQ are multiple choice questions, for which candidates get multiple answer choices. Each Question has 3 marks and a wrong answer takes away 1 mark. However Type in the Answer questions are exempted from Negative Marking.

CAT exam paper can be Categorised into 3 parts:

Quantitative Ability
Verbal Ability and Reading Comprehension
Data Interpretation and Logical Reasoning

The Verbal Ability section and Reading Comprehension has 34 Questions, Data interpretation-Logical Reasoning section has 32 MCQ questions and Quantitative Ability has 34 MCQ questions totalling up to 100 questions. Each Question has 3 marks and a wrong answer takes away 1 mark.

First things first, know the syllabus. And go through the previous papers to analyse and prepare a comprehensive plan and set priorities according to the importance of different topics across sections.Customise your own study plan based on your strengths and weaknesses. Gauge your preparation from time to time by taking mock tests. Solve questions to check your levels of preparation but not to set any targets. Remember, its ok to have cheat days and relax. But make sure you have a plan and stick to it for the next few months because even Rome wasnt built in a day.


NCERT books will sharpen your basics and you need strong basics for preparing for any entrance examination. Once your basics are in place, because the time period for preparation is quite less, your preparation should be extensive and thorough.

Quantitative Aptitude covers almost 30% of the CAT question paper. QA can be categorised into Arithmetic, Algebra, Geometry and Advanced Mathematics. Practise chapter by chapter and develop mental calculations. Like practise more of basic summation, subtraction, fractions and tables. Numbers, Percentage, Profit and Loss, Simple and Compound Interest, Ratio, Proportionality, Time-Distance, Time-Work, Mixtures, Averages, Partnership, Permutation and Combinations, Probability, Set Theory, Progression and Series, Line, Angles, Triangles, Quadrilaterals, Polygon, Circles, Ares, Volume, Height and Distance, Coordinate Geometry, Basic Trigonometry are few important topics.

Preparation tips:

Because this section involves mathematics and takes most of your time, your focus should be on solving the problems efficiently in the beginning. Even if it takes time, practise upto perfection. Practise as many questions as you can in the conventional way. As and when you get a grip on the subject, you can go for short cuts. Memorise tables, square roots, cube roots, conversion from percent to fraction, etc. Solve sample papers on Mathematics. In the beginning, do not worry about the time it takes. As you practise, you will get the hang of the subject and it will be easier for you.


In Verbal Ability session, command on your English, Grammar, Vocabulary, Understanding of the given paragraph are of more importance. Reading English NewsPaper will also help you in your preparation.

Preparation tips:

Read articles from time to time. Follow newspapers, magazines, and watch the news channels and browse the internet to keep yourself updated. You will need a lot of reading to help you in the comprehension section. You will need speed to help you in this section and you can achieve that only by thorough practise and reading. Take time to understand the question because most answers are interlinked.


Data Interpretation and Logical Reasoning needs to be practised as much as possible. Comparison of data, Data Analysis, taking clues, interpreting missing data, coming to conclusions and making future projections will be covered under this Category. The questions here are interlinked and so if you get one formula correct, cracking the next few questions will be easy. So it's important to memorise and practise formulae. You should cover topics like Data tables, Data Charts, Bar Diagrams, Pie Charts, Graphs, Data Comparison and Analysis.

Preparation tips:

As this is the most tricky section, this needs a lot of practise. Solve as many sample papers as possible to get the hang of the section. Make notes when required. Regular practise can help you understand and solve the questions easily as time goes on.

Overall,once you know the syllabus, it's easier from there on.Go through the previous papers to analyse and prepare a comprehensive plan and set priorities according to the importance of different topics across sections. Customise your own study plan based on your strengths and weaknesses. Gauge your preparation from time to time by taking mock tests. Solve questions to check your levels of preparation but not to set any targets. Remember, its ok to have cheat days and relax. But make sure you have a plan and stick to it for the next few months


We can recommend a few books for you:

NCERT books to cover the basics from 6th to 10th Class

Quantitative Aptitude for CAT by Nishit Saxena

Quantitative Aptitude Quantum for CAT by Sarvesh Sharma

How to prepare for Quantitative Aptitude for CAT by Arun Sharma

Quantitative Aptitude for Competitive Exams by Abhijit Guha


You can also download free downloadable e books at:
https://bschool.careers360.com/download/cat-ebooks

Hey there

You have good marks in your 10th and 12th but little low in your graduation so you need to get very good percentile in CAT for general category. CAT is all about speed so you have time in this lockdown you can speed up all the three sections specially quantitative analysis.

Check CAT cutoff in details

https://bschool.careers360.com/articles/cat-cutoff/amp

Good luck

Hey there hope you are doing well. This is not a platform where you can ask your general questions doubt but you can ask the doubts regarding the college admission ,examination process and counselling. So sorry this question can't be answered here. You have to search it somewhere else to get the solution but not here. Hope this will help you good luck.

All the IIMs have 100% placement and summer internships. The average salary package varies depending on various factors. For example in 2019, IIM K had the highest package at 40.50 lakhs per annum amongst the offers it received. This is approximately 30 lakhs lesser than IIM Calcutta in 2019. At this point in time, due to lockdown, the placements have been either put on hold or withdrawn. This is one rare occasion that IIM Candidates have been hanging in the middle of no where. IIM Jammu had the highest placement offer at 18 lakhs per annum. The baby IIMs are going to get lesser packages when compared to the traditional IIMs like A,B,C. IIM Nagpur has seen an inceease in the highest package by 20 lakhs.