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. If the radius of a circle is halved, how does the circumference change? (2021)
Q. If the radius of a circle is halved, how does the circumference change? (2022) 2022
Q. If the radius of a circle is tripled, by what factor does the area increase? (2021)
Q. If the revenue function is R(x) = 100x - 2x^2, find the number of units that maximizes revenue. (2021)
Q. If the roots of the equation x² + 2x + k = 0 are 1 and -3, what is the value of k? (2020)
Q. If the roots of the equation x² + 2x + k = 0 are real and distinct, what is the condition for k? (2020)
Q. If the roots of the equation x² + 5x + k = 0 are -2 and -3, find k. (2020)
Q. If the roots of the equation x² + 5x + k = 0 are 1 and 4, find k. (2020)
Q. If the roots of the equation x² + 7x + p = 0 are -3 and -4, find p. (2019)
Q. If the roots of the equation x² + px + 12 = 0 are 3 and 4, find p. (2020)
Q. If two dice are rolled, what is the probability that the sum is 7?
Q. If x = 5, what is the value of 2x + 3? (2022)
Q. If z = -2 + 2i, what is the value of |z|? (2019)
Q. If z = 1 + i, what is the value of z^2? (2022)
Q. If z = 1 + i, what is the value of z²? (2022)
Q. If z = 2 + 2i, what is |z|^2? (2021)
Q. If z = 2 - 3i, what is the conjugate of z? (2020)
Q. If z = 3 + 4i, what is the imaginary part of z? (2022) 2022
Q. If z = 3 + 4i, what is the value of z + z* (where z* is the conjugate of z)? (2017)
Q. If z = 3 + 4i, what is the value of z + z̅? (2022)
Q. If z = 4 + 3i, what is the real part of z? (2023)
Q. If z = 5 + 12i, what is the argument of z? (2022)
Q. If \( B = \begin{pmatrix} 2 & 3 \\ 1 & 4 \end{pmatrix} \), what is \( |B| \)? (2022)
Q. In a class of 30 students, 18 are girls. What is the probability of randomly selecting a boy? (2021)
Q. In a group of 50 people, 20 are smokers. What is the probability of selecting a non-smoker? (2022)
Q. In a lottery, there are 10 tickets, and 2 are winning tickets. What is the probability of picking a winning ticket?
Q. In a lottery, there are 10 tickets, and 3 are winning tickets. What is the probability of picking a winning ticket? (2022)
Q. In how many ways can 3 prizes be awarded to 5 students? (2021)
Q. In how many ways can 4 different flags be arranged on a pole? (2015)
Q. In how many ways can 4 different fruits be selected from 10 fruits?
