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

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 ____________.

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:

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 ____________.

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 ____________.

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 ____________.

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 ____________.

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

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

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

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

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

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

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

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

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

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

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

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

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

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