Class 12th Mathematics MCQ
RELATIONS AND FUNCTIONS Part 1
RELATIONS AND FUNCTIONS: Q1. Consider the binary operation * defined on Q − {1} by the rule a * b = a + b − ab for all a, b ∈ Q − {1}.
RELATIONS AND FUNCTIONS Part 2
RELATIONS AND FUNCTIONS: Q51. The binary operation * is defined by a * b = a + b + ab + 1, then (2 * 3) * 2 is equal to:
RELATIONS AND FUNCTIONS Part 3
RELATIONS AND FUNCTIONS: Q102. If G is the set of all matrices of the form , where , then the identity element with respect to the multiplication
Inverse trigonometric functions
Inverse trigonometric functions: The number of real solutions of the equation √1 + cos2x = √2cos − 1(cosx) in π
MATRICES
MATRICES: Q3. If A is a matrix of order m×n and B is a matrix such that AB and B A are both defined, then the order of
DETERMINANTS Part 1
DETERMINANTS: Q4. Choose the correct answer from given four options in each of the Exercise: If x, y, z are all different from zero
DETERMINANTS Part 2
DETERMINANTS: Q54. Choose the correct answer from given four options in each of the Exercise: If A and B are invertible matrices
CONTINUITY & DIFFERENTIABILITY Part 1
CONTINUITY & DIFFERENTIABILITY: If f(x) = 2x and then which of the following can be a discontinuous function:
CONTINUITY & DIFFERENTIABILITY Part 2
CONTINUITY & DIFFERENTIABILITY: Q51. The function is not defind for x = 2. in order to make f(x) continuous at x = 2, here f(2)
CONTINUITY & DIFFERENTIABILITY Part 3
CONTINUITY & DIFFERENTIABILITY: Q104. If then the value of (a, b) for which f(x) cannot be continuous at x = 1, is:
Application of derivatives Part 1
Application of derivatives: Q1. The equation of the normal to the curve x = a cos θ, y = a sin θ at the point θ = π/4 is:
Application of derivatives Part 2
Application of derivatives: Q51. Choose the correct answer from the given four options: he two curves x - 3xy + 2 = 0 and 3x y - y - 2 = 0 intersect at an angle of:
Application of derivatives Part 3
Application of derivatives: Q101. Choose the correct answer from the given four options: The function f(x) = 2x - 3x - 12x + 4, has:
INTEGRALS Part 1
INTEGRALS: Q4. Choose the correct answer in Exercises: is equal to
INTEGRALS Part 2
INTEGRALS: Q70. Choose the correct option from given four options: If then:
Application of integrals
Application of integrals: Q1. Choose the correct answer from the given four options: The area of the region bounded by the ellipse
Differential equations Part 1
Differential equations: Q4. The number of arbitrary constants in the particular solution of differential equation of fourth order is:
Differential equations Part 2
Differential equations: Q54. The differention equationdy/dx + Py = Qyn, n > 2 can be reduced to linear from by substituting:
- Mock Test
- Sectional Test
- Advance Test
- Previous Year Test
THREE DIMENSIONAL GEOMETRY
THREE DIMENSIONAL GEOMETRY: Q2. If the diraction ratios of a line are proportional to 1, -3, 2, then its diraction cosines are:
LINEAR PROGRAMMING
LINEAR PROGRAMMING: Q1. By graphical method, the solution of linear programming problem Maximize Z = 3x + 5x
PROBABILITY Part 1
PROBABILITY: Q1. The probablity of selecting a male or a female is same. If the probability that in an office of n persons (n - 1) males
PROBABILITY Part 2
PROBABILITY: Q51. A fair coin is tossed a fixed number of times. If the probability of getting seven heads is equal to that of getting
PROBABILITY Part 3
PROBABILITY: Q101. A bag X contains 2 white and 3 black balls and another bag Y contains 4 white and 2 black balls.