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. Find the area of the triangle formed by the points A(1, 2, 3), B(4, 5, 6), and C(7, 8, 9). (2022)
Q. Find the coefficient of x^2 in the expansion of (2x + 3)^6.
Q. Find the coefficient of x^2 in the expansion of (x + 4)^5. (2023)
Q. Find the coefficient of x^2 in the expansion of (x - 5)^5.
Q. Find the coefficient of x^3 in the expansion of (2x - 3)^4. (2022)
Q. Find the coefficient of x^4 in the expansion of (2x - 3)^6.
Q. Find the coefficient of x^4 in the expansion of (3x + 2)^5. (2022)
Q. Find the coefficient of x^4 in the expansion of (x + 3)^6.
Q. Find the coefficient of x^5 in the expansion of (2x - 3)^6. (2022)
Q. Find the coefficient of x^5 in the expansion of (2x - 3)^7. (2023)
Q. Find the coefficient of x^5 in the expansion of (2x - 3)^8.
Q. Find the coefficient of x^5 in the expansion of (x + 1)^7.
Q. Find the constant term in the expansion of (x - 2/x)^6. (2022)
Q. Find the coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and (0, 8). (2022)
Q. Find the coordinates of the midpoint of the line segment joining A(2, 3, 4) and B(4, 5, 6). (2023)
Q. Find the derivative of f(x) = sin(x) + cos(x).
Q. Find the derivative of f(x) = tan(x). (2022) 2022
Q. Find the derivative of f(x) = x^5 + 3x^3 - 2x.
Q. Find the derivative of f(x) = x^5 - 3x^3 + 2. (2022)
Q. Find the determinant of E = [[3, 2], [1, 4]]. (2022)
Q. Find the determinant of E = [[4, 2], [1, 3]]. (2023)
Q. Find the determinant of F = [[4, 5], [6, 7]]. (2020)
Q. Find the determinant of G = [[1, 2], [2, 4]]. (2020)
Q. Find the determinant of H = [[3, 1], [2, 5]]. (2021)
Q. Find the determinant of J = [[5, 2], [1, 3]]. (2020)
Q. Find the determinant of the matrix D = [[3, 2, 1], [1, 0, 2], [2, 1, 3]]. (2020)
Q. Find the determinant of the matrix D = [[4, 2], [3, 1]]. (2023)
Q. Find the determinant of the matrix \( E = \begin{pmatrix} 3 & 2 \\ 1 & 4 \end{pmatrix} \). (2021)
Q. Find the dimensions of a rectangle with a fixed area of 50 m^2 that minimizes the perimeter. (2021)
Q. Find the dimensions of a rectangle with a fixed area of 50 square units that minimizes the perimeter. (2022) 2022
