Class 12 Maths Model Question 2023 (2080) SolutionÂ
Are you currently on the lookout for the comprehensive solution to Class 12 Maths Model Question 2023 (2080)? Your search ends here! Explore the meticulously crafted step-by-step solution accompanied by detailed explanations, empowering you to strengthen your grasp of mathematical concepts and boost your performance in your Class 12 examinations. Don't miss out on this invaluable resource that will pave the way to your success
Class 12 Maths Model Question 2023 (2080) SolutionÂ
Are you currently on the lookout for the comprehensive solution to Class 12 Maths Model Question 2023 (2080)? Your search ends here! Explore the meticulously crafted step-by-step solution accompanied by detailed explanations, empowering you to strengthen your grasp of mathematical concepts and boost your performance in your Class 12 examinations. Don't miss out on this invaluable resource that will pave the way to your success
Disclaimer:Answers mentioned here are not solved by teachers. These are the solutions written by a student of Grade 12. If you found some of the solutions mistake please let me know in the comment section below. I took help of book, search engines, and teachers to solve the set. However, the language or process of solving the questions might be informal and in examinations, you might have to add little more language and show more calculations than what has been done here. So, I highly encourage you to view these solutions as guide rather than just copying everything mentioned here.
Disclaimer:Answers mentioned here are not solved by teachers. These are the solutions written by a student of Grade 12. If you found some of the solutions mistake please let me know in the comment section below. I took help of book, search engines, and teachers to solve the set. However, the language or process of solving the questions might be informal and in examinations, you might have to add little more language and show more calculations than what has been done here. So, I highly encourage you to view these solutions as guide rather than just copying everything mentioned here.
Group "A"
1) What is an arrangement of the n natural numbers called?
- A) Induction
- B) Permutation
- C) Combination
- D) Expectation
Ans:Â B) Permutation
2) Let 1,w,w² be the cube roots of unity. Under which operation is the set A={1,w,w²} closed?
- A) Addition
- B) Subtraction
- C) Multiplication
- D) Division
Ans:Â C) Multiplication
3) What is the domain of sin^-1x?
- A) x≥1 or x≤-1
- B) (∞,infinity)
- C) -1<x<1
- D) -1≤x≤1
Ans: D) -1≤x≤1
4) ABCD is a parallelogram. Which one of the following represents area of the parallelogram?
- A) Magnitude of vector product of two vectors along AB and BD.
- B) Magnitude of vector product of two vectors along AB and DC.
- C) Magnitude of vector product of two vectors along AC and BC.
- D) Magnitude of vector product of two vectors along AB and AD.
Ans: A) Magnitude of vector product of two vectors along AB and BD.
5) If a conic section has eccentricity(e) = (√a^2-b^2)/a, what is the equation of that conic section?
- A)(x^2/a^2)-(y^2/b^2)=1
- B)Â (x^2/a^2)+(y^2/b^2)=1
- C) (x^2/a^2)+(y^2/a^2)=1
- D)(x^2/b^2)+(y^2/b^2)=1
Ans:Â B)Â (x^2/a^2)+(y^2/b^2)=1
6) If cosӨ =−1/2 for integer (n), what is the general value of Ө ?
- A) 2nπ ±2π/3
- B) nπ + (−1)^n π/3
- C) nπ −π/3
- D) nπ +π/3
Ans: A) 2nπ ±2π/3
7) Let A and B be two dependent events. If P (A) =1/2, P (B) = 3/4 and P(AnB) =2/5, what is the value of P(A/B)?
- A) equal to P(B/A)
- B) equal to P(A)
- C) less than P(A A B)
- D) less than P(B/A)
Ans:D) Less than P(B/A)
8) The edge of a cube increases from 10 cm to 10.025 cm. What would be the approximate increment in volume?
- A) 103 cm^3?
- B) 10.0253 cm^3?
- C) 7.5187 cm^3?
- D) 7.5 cm^3?
Ans:Â D) 7.5 cm^3?
9) What is the integrating factor of the differential equation cos'× dy + y =1°
- A) tan x
- B) e^tanx
- C) sec^2 x
- D)e^sec1x
Ans:Â B) e^tanx
10) What is the number of solutions of the system of linear equations × + y = 5 and x + y = 7?
- A) One solution
- B) No solution
- C) Infinite solutions
- D) More than one solution
Ans:Â B) No solution
11) Forces P and Q are acting along ceiling and floor of a rectangular room. What is the nature of the forces?
- A) Like
- B) unlike
- C) collinear
- D) parallel
Ans:Â B) unlike
1) What is an arrangement of the n natural numbers called?
- A) Induction
- B) Permutation
- C) Combination
- D) Expectation
Ans:Â B) Permutation
2) Let 1,w,w² be the cube roots of unity. Under which operation is the set A={1,w,w²} closed?
- A) Addition
- B) Subtraction
- C) Multiplication
- D) Division
Ans:Â C) Multiplication
3) What is the domain of sin^-1x?
- A) x≥1 or x≤-1
- B) (∞,infinity)
- C) -1<x<1
- D) -1≤x≤1
Ans: D) -1≤x≤1
4) ABCD is a parallelogram. Which one of the following represents area of the parallelogram?
- A) Magnitude of vector product of two vectors along AB and BD.
- B) Magnitude of vector product of two vectors along AB and DC.
- C) Magnitude of vector product of two vectors along AC and BC.
- D) Magnitude of vector product of two vectors along AB and AD.
Ans: A) Magnitude of vector product of two vectors along AB and BD.
5) If a conic section has eccentricity(e) = (√a^2-b^2)/a, what is the equation of that conic section?
- A)(x^2/a^2)-(y^2/b^2)=1
- B)Â (x^2/a^2)+(y^2/b^2)=1
- C) (x^2/a^2)+(y^2/a^2)=1
- D)(x^2/b^2)+(y^2/b^2)=1
Ans:Â B)Â (x^2/a^2)+(y^2/b^2)=1
6) If cosӨ =−1/2 for integer (n), what is the general value of Ө ?
- A) 2nπ ±2π/3
- B) nπ + (−1)^n π/3
- C) nπ −π/3
- D) nπ +π/3
Ans: A) 2nπ ±2π/3
7) Let A and B be two dependent events. If P (A) =1/2, P (B) = 3/4 and P(AnB) =2/5, what is the value of P(A/B)?
- A) equal to P(B/A)
- B) equal to P(A)
- C) less than P(A A B)
- D) less than P(B/A)
Ans:D) Less than P(B/A)
8) The edge of a cube increases from 10 cm to 10.025 cm. What would be the approximate increment in volume?
- A) 103 cm^3?
- B) 10.0253 cm^3?
- C) 7.5187 cm^3?
- D) 7.5 cm^3?
Ans:Â D) 7.5 cm^3?
9) What is the integrating factor of the differential equation cos'× dy + y =1°
- A) tan x
- B) e^tanx
- C) sec^2 x
- D)e^sec1x
Ans:Â B) e^tanx
10) What is the number of solutions of the system of linear equations × + y = 5 and x + y = 7?
- A) One solution
- B) No solution
- C) Infinite solutions
- D) More than one solution
Ans:Â B) No solution
11) Forces P and Q are acting along ceiling and floor of a rectangular room. What is the nature of the forces?
- A) Like
- B) unlike
- C) collinear
- D) parallel
Ans:Â B) unlike
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