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Science (English Medium) Class 12 - CBSE Question Bank Solutions for Mathematics

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Raji visited the Exhibition along with her family. The Exhibition had a huge swing, which attracted many children. Raji found that the swing traced the path of a Parabola as given by y = x2.

Answer the following questions using the above information.

  • Let f: N → N be defined by f(x) = x2 is ____________.
[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined

Raji visited the Exhibition along with her family. The Exhibition had a huge swing, which attracted many children. Raji found that the swing traced the path of a Parabola as given by y = x2.

Answer the following questions using the above information.

  • Let f: {1,2,3,....} → {1,4,9,....} be defined by f(x) = x2 is ____________.
[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined

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Raji visited the Exhibition along with her family. The Exhibition had a huge swing, which attracted many children. Raji found that the swing traced the path of a Parabola as given by y = x2.

Answer the following questions using the above information.

  • Let : N → R be defined by f(x) = x2. Range of the function among the following is ____________.
[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined

Raji visited the Exhibition along with her family. The Exhibition had a huge swing, which attracted many children. Raji found that the swing traced the path of a Parabola as given by y = x2.

Answer the following questions using the above information.

  • The function f: Z → Z defined by f(x) = x2 is ____________.
[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined

If f: R → R given by f(x) =(3 − x3)1/3, find f0f(x)

[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined

Let f: R → R defined by f(x) = x4. Choose the correct answer

[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined

Let f: R → R defined by f(x) = 3x. Choose the correct answer

[1] Relations and Functions
Chapter: [1] Relations and Functions
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 `abs((2"x", -1),(4,2)) = abs ((3,0),(2,1))` then x is ____________.

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

A and B are invertible matrices of the same order such that |(AB)-1| = 8, If |A| = 2, then |B| is ____________.

[4] Determinants
Chapter: [4] Determinants
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

Find the maximum profit that a company can make, if the profit function is given by P(x) = 41 + 24x – 18x2.

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

If y = x3 + x2 + x + 1, then y ____________.

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