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Mathematics
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Let R be the feasible region for a linear programming problem, and let Z = ax + by be the objective function. If R is bounded, then the objective function Z has both a maximum and a minimum value on R and ____________.

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

In Corner point method for solving a linear programming problem the first step is to ____________.

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

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In the Corner point method for solving a linear programming problem the second step after finding the feasible region of the linear programming problem and determining its corner points is ____________.

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

A feasible solution to a linear programming problem

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

The corner points of the bounded feasible region of a LPP are A(0,50), B(20, 40), C(50, 100) and D(0, 200) and the objective function is Z = x + 2y. Then the maximum value is ____________.

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

The feasible region (shaded) for a L.P.P is shown in the figure. The maximum Z = 5x + 7y is ____________.

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

The maximum value of Z = 3x + 4y subjected to contraints x + y ≤ 40, x + 2y ≤ 60, x ≥ 0 and y ≥ 0 is ____________.

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

If A is a square matrix such that A2 = A, then (I + A)2 - 3A is ____________.

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

If a matrix A is both symmetric and skew symmetric then matrix A is ____________.

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

On her birthday, Seema decided to donate some money to the children of an orphanage home. If there were 8 children less, everyone would have got Rs.10 more. However, if there were 16 children more, everyone would have got Rs. 10 less. Let the number of children be x and the amount distributed by Seema for one child be y(in Rs.).

Based on the information given above, answer the following questions:

  • The equations in terms x and y are ____________.
[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined

On her birthday, Seema decided to donate some money to the children of an orphanage home. If there were 8 children less, everyone would have got Rs.10 more. However, if there were 16 children more, everyone would have got Rs. 10 less. Let the number of children be x and the amount distributed by Seema for one child be y(in Rs.).

Based on the information given above, answer the following questions:

  • Which of the following matrix equations represent the information given above?
[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined

On her birthday, Seema decided to donate some money to the children of an orphanage home. If there were 8 children less, everyone would have got Rs.10 more. However, if there were 16 children more, everyone would have got Rs. 10 less. Let the number of children be x and the amount distributed by Seema for one child be y(in Rs.)

Based on the information given above, answer the following questions:

  • The number of children who were given some money by Seema, is ____________.
[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined

On her birthday, Seema decided to donate some money to the children of an orphanage home. If there were 8 children less, everyone would have got Rs.10 more. However, if there were 16 children more, everyone would have got Rs. 10 less. Let the number of children be x and the amount distributed by Seema for one child be y(in Rs.)

Based on the information given above, answer the following questions:

  • How much amount is given to each child by Seema?
[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined

On her birthday, Seema decided to donate some money to the children of an orphanage home. If there were 8 children less, everyone would have got Rs.10 more. However, if there were 16 children more, everyone would have got Rs. 10 less. Let the number of children be x and the amount distributed by Seema for one child be y(in Rs.)

Based on the information given above, answer the following questions:

  • How much amount Seema spends in distributing the money to all the students of the Orphanage?
[3] Matrices
Chapter: [3] Matrices
Concept: undefined >> undefined

If `"f"("x") = ("sin" ("e"^("x"-2) - 1))/("log" ("x" - 1)), "x" ne 2 and "f" ("x") = "k"` for x = 2, then value of k for which f is continuous is ____________.

[5] Continuity and Differentiability
Chapter: [5] Continuity and Differentiability
Concept: undefined >> undefined

A function is said to be continuous for x ∈ R, if ____________.

[5] Continuity and Differentiability
Chapter: [5] Continuity and Differentiability
Concept: undefined >> undefined

Find all the points of local maxima and local minima of the function f(x) = (x - 1)(x + 1)2

[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined

Find the local minimum value of the function f(x) `= "sin"^4" x + cos"^4 "x", 0 < "x" < pi/2`

[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined

Find the points of local maxima and local minima respectively for the function f(x) = sin 2x - x, where `-pi/2 le "x" le pi/2`

[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined

If y `= "ax - b"/(("x" - 1)("x" - 4))` has a turning point P(2, -1), then find the value of a and b respectively.

[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined
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