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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 फिजिक्स [अंग्रेजी] कक्षा ११ महाराष्ट्र राज्य बोर्ड chapter 2 - Mathematical Methods - Shaalaa.com](/images/physics-english-standard-11-maharashtra-state-board_6:314f14dcb519476f83adce5380e7a92f.jpg "Balbharati solutions for फिजिक्स [अंग्रेजी] कक्षा ११ महाराष्ट्र राज्य बोर्ड chapter 2 - Mathematical Methods")
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Solutions for Chapter 2: Mathematical Methods
Below listed, you can find solutions for Chapter 2 of Maharashtra State Board Balbharati for फिजिक्स [अंग्रेजी] कक्षा ११ महाराष्ट्र राज्य बोर्ड.
Balbharati solutions for फिजिक्स [अंग्रेजी] कक्षा ११ महाराष्ट्र राज्य बोर्ड 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 = 2 hat i - 3 hat j` and `vec v_2 = -6hat i + 5 hat 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.
Show that vectors `vec a = 2 hat i + 5 hat j - 6 hat k` and `vec b = hat i + 5/2 hat j - 3 hat 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 फिजिक्स [अंग्रेजी] कक्षा ११ महाराष्ट्र राज्य बोर्ड chapter 2 - Mathematical Methods
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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 फिजिक्स [अंग्रेजी] कक्षा ११ महाराष्ट्र राज्य बोर्ड chapter 2 Mathematical Methods are Vector Analysis, Resolution of Vectors, Multiplication of Vectors, Concept of Calculus, Scalar, Vector, Vector Operations>Multiplication of a Vector by a Scalar, Vector Operations>Addition and Subtraction of Vectors, Vector Operations>Triangle Law for Vector Addition, Vector Operations>Law of parallelogram of vectors, Scalar Product(Dot Product), Vector Product (Cross Product), Differential Calculus, Integral Calculus.
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