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Arts (English Medium) Class 12 - CBSE Question Bank Solutions

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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: R → R 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: N → N 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: {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

`"cos"^-1 1/2 + 2  "sin"^-1 1/2` is equal to ____________.

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