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$NEB Class 12 Math Model Question Paper 2079 With Solution for 2080 Batch Students$

NEB Class 12 Math Model Question Paper 2079 With Solution

In This Post, We Provide Complete Class 12 Mathematics [0041] Model Question and Answer Solution 2080 issued by NEB.

Check: SEE Math Model 2080 Solution (with grid)

Class 12 Model Question 2079

Class 12 Mathematics Model Questions 2079/80 With Solution. Latest NEB Model Question & Complete Answer Solution of Math for Class 12 Board Exam 2080. NEB Class 12 Model Question 2079/80 is given as:

Check: Latest Model NEB Class 12 Mathematics Model PDF 2080-2081

Class 12 Model Question Solution 2079

NEB Class 12 Model Question Solution 2079/80 is given as:

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.

Candidates
are required to give their answers in their own words as far as
practicable. The figures in the margin indicate full marks.

Time: 3hrs Full Mark:75

Attempt all questions.

Group “A”

1) What is an arrangement of the n natural numbers called?

A) Induction
B) Permutation
C) Combination
D) Expectation

Ans: 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: 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) (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: B) (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: 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: 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: 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: B) unlike

Group “B”

12) For any positive integer n, (a+x)ⁿ = C₀aⁿ
+ C₁a^n-1x + C₂a^n-2x²+……+c_nxⁿ.

a) How many terms are there in the expression?

b) Write binomial coefficient in the expansions?

c) Write the general term of the expansion.

d) Write the relations among C (n, r-1), C (n+1, r) and C
(n, r).

e) What is the value of C₀+C₁+C₂+…+C_n?

Solution:

(a) There will be (n+1) numbers of terms in the
expansion of (a+x)ⁿ = C₀aⁿ + C₁a^n-1x
+ C₂a^n-2x²+……+c_nxⁿ.

(b) The binomial coefficient in the expansion of (a+x)ⁿ
= C₀aⁿ + C₁a^n-1x + C₂a^n-2x²+……+c_nxⁿ
are: C₀, C₁a^n-1, C₂a^n-2,……C_n

(c) The general terms of the expansion is ⁿC_ra^n-rx^r.

(d) The relations among C (n, r-1), C (n+1, r) and C
(n, r) is ⁿC_r + ⁿC_r-1 = ⁿ⁺¹C_r.

(e) The value of C₀+C₁+C₂+…+C_n
is 2ⁿ.

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Group “A”

Group “B”