Mathematics

• Chapter 1: Algebra. Notes and past questions on Algebra for NEB Class 11 Mathematics.
• Chapter 2: Trigonometry. Notes and past questions on Trigonometry for NEB Class 11 Mathematics.
• Chapter 3: Analytic geometry. Notes and past questions on Analytic geometry for NEB Class 11 Mathematics.
• Chapter 4: Vectors. Notes and past questions on Vectors for NEB Class 11 Mathematics.
• Chapter 5: Statistics and Probability. Notes and past questions on Statistics and Probability for NEB Class 11 Mathematics.
• Chapter 6: Calculus. Notes and past questions on Calculus for NEB Class 11 Mathematics.
• Chapter 7: Computational methods. Notes and past questions on Computational methods for NEB Class 11 Mathematics.
• Chapter 8: Mechanics. Notes and past questions on Mechanics for NEB Class 11 Mathematics.

• (a) If p and q are any two statements, prove that p v q = q v p. (b) Let A={a, b}, B={b, c} and C={c, d}. Find Ax(B U C) and Ax(B n C). (... (2070)
• (a) Prove that cos(sin^-1 u + cos^-1 v) = v*sqrt(1-u^2) - u*sqrt(1-v^2). (b) Using principle of mathematical induction, prove that 1/2 +... (2070)
• (a) Applying Cramer's rule, solve: 3x + 4/y = 10, -2x + 3/y = -1. (b) Find the values of x and y if (x+2) + yi = (3+i)(1-2i). (c) Find th... (2070)
• (a) Find the equation of the line passing through the middle point of the line segment connecting (2, -4) and (2, 4) and parallel to the... (2070)
• (a) Find dy/dx when x - y = tan(xy). (b) Evaluate: integral of (1/x) sin(log x) dx. (c) A stone thrown into a pond produces circular ripp... (2070)
• (a) Define union and intersection of two sets. If A, B and C are any three non-empty sets, prove that A U (B n C) = (A U B) n (A U C). OR... (2070)
• (a) Solve: sin^2(theta) - 2cos(theta) + 1/4 = 0. OR If a^4 + b^4 + c^4 = 2c^2(a^2 + b^2), prove that C = 45 deg or 135 deg. (b) Prove tha... (2070)
• (a) Using row equivalent matrix method or inverse matrix method, solve: 9y - 5x = 3, x + z = 1, z + 2y = 2. (b) If one root of the equati... (2070)
• (a) Find the value of k so that the line 4x + 3y + k = 0 may touch the circle x^2 + y^2 - 4x + 10y + 4 = 0. (b) Evaluate: lim(x -> infini... (2070)
• (a) Find from first principles, the derivative of sqrt(1+x). (b) Find the area enclosed by the axis of x and the curve y = 3x - 5x^2. (2070)
• Define composite function of two functions f and g. Let f: R -> R and g: R -> R be two functions defined by f(x) = 2x^2 - 3 and g(x) = 3x... (2070)
• Sum to infinity the following series: 1 - 5a + 9a^2 - 13a^3 + ... to infinity (-1 < a < 1). (2070)
• Find the equations of the bisectors of the angles between the lines 4x - 3y + 1 = 0 and 12x - 5y + 7 = 0 and prove that the bisectors are... (2070)
• Define absolute value of a complex number. If Z and W are two complex numbers, prove that |z + w| <= |z| + |w|. OR Find the cube roots of... (2070)
• Write the criteria for the function y = f(x) to have local maxima and local minima at a point. Find the local maxima and local minima of... (2070)

Frequently asked questions

Based on the official syllabus.