Advertisements
Chapters
▶ 2: Mathematical Methods
3: Motion in a Plane
4: Laws of Motion
5: Gravitation
6: Mechanical Properties of Solids
7: Thermal Properties of Matter
8: Sound
9: Optics
10: Electrostatics
11: Electric Current Through Conductors
12: Magnetism
13: Electromagnetic Waves and Communication System
14: Semiconductors
![Balbharati solutions for Physics [English] 11 Standard Maharashtra State Board chapter 2 - Mathematical Methods - Shaalaa.com](/images/physics-english-11-standard-maharashtra-state-board_6:314f14dcb519476f83adce5380e7a92f.jpg "Balbharati solutions for Physics [English] 11 Standard Maharashtra State Board chapter 2 - Mathematical Methods")
Advertisements
Solutions for Chapter 2: Mathematical Methods
Below listed, you can find solutions for Chapter 2 of Maharashtra State Board Balbharati for Physics [English] 11 Standard Maharashtra State Board.
Balbharati solutions for Physics [English] 11 Standard Maharashtra State Board 2 Mathematical Methods Exercises [Page 29]
Choose the correct option.
The resultant of two forces 10 N and 15 N acting along +x and - x-axes respectively, is
25 N along + x-axis
25 N along - x-axis
5 N along + x-axis
5 N along - x-axis
Choose the correct option.
For two vectors to be equal, they should have the
same magnitude
same direction
same magnitude and direction
same magnitude but opposite direction
Choose the correct option.
The magnitude of scalar product of two unit vectors perpendicular to each other is
zero
1
-1
2
Choose the correct option.
The magnitude of the vector product of two unit vectors making an angle of 60° with each other is
1
2
`3/2`
`sqrt3/2`
If `vec"A", vec"B" and vec"C"` are three vectors, then which of the following is not correct?
`vec"A"*(vec"B" + vec"C") = vec"A" * vec"B" + vec"A" * vec"C"`
`vec"A" * vec"B" = vec"B"*vec"A"`
`vec"A" xx vec"B" = vec"B" xx vec"A"`
`vec"A" xx (vec"B" + vec"C")= vec"A" xx vec"B" + vec"B" xx vec"C"`
Answer the following question.
Show that `vec"a" = (hat"i" - hat"j")/sqrt2` is a unit vector.
Answer the following question.
If `vec"v"_1 = 3hat"i" + 4hat"j" + hat"k" and vec"v"_2 = hat"i" - hat"j" - hat"k"`, determine the magnitude of `vec"v"_1 + vec"v"_2`.
For `vec"v"_1 = 2hat"i" - 3hat"j" and vec"v"_2 = -6hat"i" + 5hat"j"`, determine the magnitude and direction of `vec"v"_1 + vec"v"_2`.
Find a vector which is parallel to `vec"v" = hat"i" - 2hat"j"` and has a magnitude 10.
Answer the following question.
Show that vectors `vec"a" = 2hat"i" + 5hat"j" - 6hat"k" and vec"b" = hat"i" + 5/2 hat"j" - 3hat"k"` are parallel.
Solve the following problems.
Determine `veca xx vecb`, given `veca = 2hati + 3hatj and vecb = 3hati + 5hatj`.
Show that vectors `vec"a" = 2hat"i" + 3hat"j" + 6hat"k", vec"b" = 3hat"i" - 6hat"j" + 2hat"k" and vec"c" = 6hat"i" + 2hat"j" - 3hat"k"` are mutually perpendicular.
Determine the vector product of `vec"v"_1 = 2hat"i" + 3hat"j" - hat"k" and vec"v"_2 = hat"i" + 2hat"j" - 3hat"k"`
Solve the following problem.
Given `vec"v"_1 = 5hat"i" + 2hat"j" and vec"v"_2 = "a"hat"i" - 6hat"j"` are perpendicular to each other, determine the value of a.
Solve the following problem.
Obtain a derivative of the following function: x sin x
Solve the following problem.
Obtain derivative of the following function: x4 + cos x
Solve the following problem.
Obtain derivative of the following function: `"x"/"sin x"`
Solve the following problem.
Using the rule for differentiation for quotient of two functions, prove that `"d"/"dx" ("sin x"/"cos x") = sec^2"x"`.
Solve the following problem.
Evaluate the following integral: \[\int_0^{\frac{\pi}{2}}\] sin x dx
Solve the following problem.
Evaluate the following integral: \[\int_1^5\] x dx
Solutions for 2: Mathematical Methods
Balbharati solutions for Physics [English] 11 Standard Maharashtra State Board chapter 2 - Mathematical Methods
Shaalaa.com has the Maharashtra State Board Mathematics Physics [English] 11 Standard Maharashtra State Board Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Balbharati solutions for Mathematics Physics [English] 11 Standard Maharashtra State Board Maharashtra State Board 2 (Mathematical Methods) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Balbharati textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Physics [English] 11 Standard Maharashtra State Board chapter 2 Mathematical Methods are Vector Analysis, Vector Operations, Resolution of Vectors, Multiplication of Vectors, Introduction to Calculus.
Using Balbharati Physics [English] 11 Standard Maharashtra State Board solutions Mathematical Methods exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Balbharati Solutions are essential questions that can be asked in the final exam. Maximum Maharashtra State Board Physics [English] 11 Standard Maharashtra State Board students prefer Balbharati Textbook Solutions to score more in exams.
Get the free view of Chapter 2, Mathematical Methods Physics [English] 11 Standard Maharashtra State Board additional questions for Mathematics Physics [English] 11 Standard Maharashtra State Board Maharashtra State Board, and you can use Shaalaa.com to keep it handy for your exam preparation.
