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Science (English Medium) कक्षा १२ - CBSE Question Bank Solutions for Mathematics

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Mathematics
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Students of Grade 9, planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line y = x − 4. Let L be the set of all lines which are parallel on the ground and R be a relation on L.

Answer the following using the above information.

  • Let f: R → R be defined by f(x) = x − 4. Then the range of f(x) 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: R → R 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 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

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

The value of `"tan"^-1 (1/2) + "tan"^-1(1/3) + "tan"^-1(7/8)` is ____________.

[2] Inverse Trigonometric Functions
Chapter: [2] Inverse Trigonometric Functions
Concept: undefined >> undefined

Solve for x : `"sin"^-1  2"x" + "sin"^-1  3"x" = pi/3`

[2] Inverse Trigonometric Functions
Chapter: [2] Inverse Trigonometric Functions
Concept: undefined >> undefined

The value of `"tan"^-1 (3/4) + "tan"^-1 (1/7)` is ____________.

[2] Inverse Trigonometric Functions
Chapter: [2] Inverse Trigonometric Functions
Concept: undefined >> undefined

If `"tan"^-1 2  "x + tan"^-1 3  "x" = pi/4`, then x is ____________.

[2] Inverse Trigonometric Functions
Chapter: [2] Inverse Trigonometric Functions
Concept: undefined >> undefined

`"tan" (pi/4 + 1/2 "cos"^-1 "x") + "tan" (pi/4 - 1/2 "cos"^-1 "x") =` ____________.

[2] Inverse Trigonometric Functions
Chapter: [2] Inverse Trigonometric Functions
Concept: undefined >> undefined

`"tan"^-1 1/3 + "tan"^-1 1/5 + "tan"^-1 1/7 + "tan"^-1 1/8 =` ____________.

[2] Inverse Trigonometric Functions
Chapter: [2] Inverse Trigonometric Functions
Concept: undefined >> undefined

`"cos"^-1["cos"(2"cot"^-1(sqrt2 - 1))]` = ____________.

[2] Inverse Trigonometric Functions
Chapter: [2] Inverse Trigonometric Functions
Concept: undefined >> undefined

`"cos" (2  "tan"^-1 1/7) - "sin" (4  "sin"^-1 1/3) =` ____________.

[2] Inverse Trigonometric Functions
Chapter: [2] Inverse Trigonometric Functions
Concept: undefined >> undefined

The value of `"cos"^-1 ("cos" ((33pi)/5))` is ____________.

[2] Inverse Trigonometric Functions
Chapter: [2] Inverse Trigonometric Functions
Concept: undefined >> undefined

`"sin"^-1 (1 - "x") - 2  "sin"^-1 "x" = pi/2`

[2] Inverse Trigonometric Functions
Chapter: [2] Inverse Trigonometric Functions
Concept: undefined >> undefined

If `6"sin"^-1 ("x"^2 - 6"x" + 8.5) = pi,` then x is equal to ____________.

[2] Inverse Trigonometric Functions
Chapter: [2] Inverse Trigonometric Functions
Concept: undefined >> undefined
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CBSE Science (English Medium) कक्षा १२ Question Bank Solutions
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