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CUET (UG) entrance exam Question Bank Solutions for Mathematics

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Mathematics
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Any point in the feasible region that gives the optional value (maximum or minimum) of the objective function is called:-

[12] Linear Programming
Chapter: [12] Linear Programming
Concept: undefined >> undefined

Let P be any non-empty set containing p elements. Then, what is the number of relations on P?

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

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The general solution of the differential equation `(dy)/(dx) + x/y` = 0 is

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

If the ratio of the H.M. and GM. between two numbers a and bis 4 : 5, then a: b is

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

A system of linear equations represented in matrix form Ax = 0, A is n × n matrix, has a non-zero solution if the determinant of A (i.e., det(A)) is

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

In a third order matrix B, bij denotes the element in the ith row and jth column. If

bij = 0 for i = j

= 1 for > j

= – 1 for i < j

Then the matrix is

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

`f : {1, 2, 3) -> {4, 5}` is not a function, if it is defined by which of the following?

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Which of the statements describe the solution set for `-2(x + 8) = - 2x + 20`?

[20] Linear Programming
Chapter: [20] Linear Programming
Concept: undefined >> undefined

`root(3)(4663) + 349` = ? ÷ 21.003

[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined

`[(5sqrt(7) + sqrt(7)) + (4sqrt(7) + 8sqrt(7))] - (19)^2` = ?

[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined

The A.M., H.M. and G.M. between two numbers are `144/15`, 15 and 12, but not necessarily in this order then, H.M., G.M. and A.M. respectively are

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

If n is any integer, then the general solution of the equation `cos x - sin x = 1/sqrt(2)` is

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

A number consists of two digits and the digit in the ten's place exceeds that in the unit's place by 5. If 5 times the sum of the digits be subtracted from the number, the digits of the number are reversed. Then the sum of digits of the number is:

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

General solution of tan 5θ = cot 2θ is

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

Solution of the equation 3 tan(θ – 15) = tan(θ + 15) is

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

A matrix is said to be a column matrix if it has

[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined

A matrix is said to be a row matrix, if it has

[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined

A square matrix B = [bÿ] m × m is said to be a diagonal matrix if all diagonal elements are

[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined

A diagonal matrix is said to be a scalar matrix if its diagonal elements are

[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined

A square matrix in which elements in the diagonal are all 1 and rest are all zero is called an

[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined
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