Sub. code 0081
NEB — GRADE XII
2082 GIE Set B
Old Question
Mathematics Question Paper 2082 GIE Set B (Old Question)
The candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks.
Pass Marks : 32
सबै प्रश्नको उत्तर दिनुहोस् । (Attempt All Questions)
This old question question paper is for Class 12 Mathematics, 2082 GIE Set B (subject code 0081), carrying full marks of 75 with a pass mark of 32, to be completed within 3 Hours. Answers with step-by-step solutions are available for every question below.
Group A
Rewrite the correct options of each questions in your same answer sheet.
P(n, r) = C(n, r) then the value of r is
Which one of the following is the final reduced form of the augmented matrix of system: ,
In triangle ABC, then the triangle is
isosceles
equilateral
right angle
equiangular
The length of the tangent from to the circle is 1, what is the value of k?
6
5
-5
-6
If and are two non-zero vectors and be the angle between them. Then the value of
Which is the correct relation between the variable and if $x$ represents production of milk and $y$ represents consumption of milk daily for .
Increase in , increase in
Increase in , decrease in
Decrease in , increase in
Neither increase in , nor decrease in
Which one of the following is the correct derivative of ?
Which of the following is the equation of tangent to the curve at ?
Which is the correct solution of ?
Which one of the following is solution of the differential equation, ?
Given r and s are the non-negative slack variables then which one of the following is the pivot element from the simplex tableau?
Basic variables | x | y | r | s | z | R.H.S. |
4 | 3 | 1 | 0 | 0 | 240 | |
2 | 1 | 0 | 1 | 0 | 100 | |
0 | 0 | 1 | 0 |
1
2
3
4
The maximum height attained by a body in projectile motion is for . What is the velocity?
Group B
In how many ways can 'n' different coloured beads be made into a bracelet?
Write Euler form of i.
Write expansion of in infinite series.
Write the middle term of expansion .
What is the sum of first 'n' even natural numbers?
An examination paper consisting of 8 questions is divided into two groups. First group contains 3 questions. In how many ways can an examinee attempt 5 questions selecting at least two questions from each group.
Find cube roots of by using De-Moivre's theorem.
In any triangle if . Solve the triangle.
In triangle , prove that by vector method.
Find the equation of the ellipse whose latus rectum is 5 and eccentricity is .
Find the eccentricity and foci of the hyperbola .
From the following data of rainfall and rice production, find the rainfall (mm) corresponding to production of 90 quintals of rice.
A Class consists of 20 boys and 30 girls. If two student are chosen at random what is the probability that one boy and one girl are chosen?
State L'Hospital's theorem. Write an application of it.
Write derivatives of with respect to .
Write a homogeneous differential equation.
Write the Integral of .
In function , write formula for finding approximate and actual change of .
Find derivatives with respect to of
Evaluate:
Solve the following system of equations by Gauss-Seidel method.
Two forces A and B acting parallel to the length and base of an inclined plane respectively, would each of them singly support a weight 'F' on the plane, prove that .
Group C
If , prove that .
Use principle of mathematical induction to prove that .
Solve the equation by using Cramer's rule; .
Derivation of and requires that the concept of semiperimeter of . Explain.
touch the parabola . Comment on the relation of a, c and m after calculation.
The concept of vector product of two vectors is applicable to find the area of parallelogram. Justify with example.
The radius of spherical shape hot air balloon is increasing at the rate of . At what rate is the volume of balloon increasing when the radius is ?
Evaluate:
Identify the type of differential equation and solve it
Paper Overview & Analysis
2082 GIE Set B
Year
Old Question
Type
75
Full Marks
32
Pass Marks
3 Hours
Duration
41
Question Items
Question Type Breakdown
Group Breakdown