Mathematics
3D Geometry
Applications of Derivatives
Binomial Theorem
Circles
Complex Numbers
Conic Sections
Coordinate Geometry
Differential Equations
Differentiation
Integration
Limits & Continuity
Matrices & Determinants
Permutations & Combinations
Probability
Quadratic Equations
Sequences & Series
Sets & Relations
Straight Lines
Trigonometry
Vector Algebra
Q. Calculate the coefficient of x^2 in the expansion of (x + 1/2)^8. (2021)
Q. Calculate the coefficient of x^2 in the expansion of (x + 1/x)^6. (2019)
Q. Calculate the coefficient of x^4 in the expansion of (3x - 2)^6.
Q. Calculate the coefficient of x^4 in the expansion of (x + 1/2)^6. (2021)
Q. Calculate the coefficient of x^4 in the expansion of (x + 3)^6. (2021)
Q. Calculate the derivative of f(x) = 5x^5. (2016)
Q. Calculate the derivative of f(x) = ln(x^2 + 1).
Q. Calculate the derivative of f(x) = x^2 * e^x. (2023) 2023
Q. Calculate the determinant of D = [[2, 3, 1], [1, 0, 2], [4, 1, 0]]. (2020)
Q. Calculate the determinant of D = [[3, 2, 1], [1, 0, 2], [0, 1, 3]]. (2023)
Q. Calculate the determinant of D = [[3, 2, 1], [1, 0, 2], [2, 1, 3]]. (2020)
Q. Calculate the determinant of D = [[4, 2], [1, 3]]. (2020)
Q. Calculate the determinant of D = [[4, 2], [3, 1]]. (2020)
Q. Calculate the determinant of F = [[1, 2, 3], [0, 1, 4], [5, 6, 0]]. (2023)
Q. Calculate the determinant of G = [[1, 1, 1], [1, 2, 3], [1, 3, 6]]. (2022)
Q. Calculate the determinant of G = [[1, 2, 1], [0, 1, 0], [2, 3, 1]]. (2023)
Q. Calculate the determinant of G = [[1, 2, 1], [0, 1, 4], [1, 0, 0]]. (2021)
Q. Calculate the determinant of H = [[1, 2, 1], [0, 1, 3], [1, 0, 1]]. (2023)
Q. Calculate the determinant of H = [[1, 2, 1], [0, 1, 3], [2, 1, 0]]. (2020)
Q. Calculate the determinant of H = [[5, 4], [2, 3]]. (2021)
Q. Calculate the determinant of J = [[1, 2, 1], [0, 1, 2], [1, 0, 1]]. (2023)
Q. Calculate the determinant of the matrix F = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]. (2022)
Q. Calculate the determinant of the matrix \( C = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix} \). (2020)
Q. Calculate the determinant of the matrix \( H = \begin{pmatrix} 1 & 0 & 2 \\ 0 & 1 & 3 \\ 0 & 0 & 1 \end{pmatrix} \). (2020)
Q. Calculate the distance from the point P(1, 2, 3) to the origin O(0, 0, 0). (2023)
Q. Calculate the limit: lim (x -> ∞) (5x^2 + 3)/(2x^2 + 1) (2023)
Q. Calculate the term containing x^3 in the expansion of (x + 2)^7.
Q. Calculate the term independent of x in the expansion of (2x - 3)^5.
Q. Calculate the term independent of x in the expansion of (2x^2 - 3x + 4)^3.
Q. Calculate the term independent of x in the expansion of (x/2 - 3)^6.
