NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.2

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CBSE CLASS XII Related Questions

1.
Let f: R→R be defined as f(x) = 3x. Choose the correct answer.

    • f is one-one onto
    • f is many-one onto
    • f is one-one but not onto
    • f is neither one-one nor onto

    2.
    Find the inverse of each of the matrices,if it exists \(\begin{bmatrix} 2 & 1 \\ 7 & 4  \end{bmatrix}\)

        3.

        Let A=\(\begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}\),show that(aI+bA)n=anI+nan-1bA,where I is the identity matrix of order 2 and n∈N

            4.

            Solve system of linear equations, using matrix method.
             x-y+2z=7
             3x+4y-5z=-5
             2x-y+3z=12

                5.
                By using the properties of definite integrals, evaluate the integral: \(∫_0^π log(1+cosx)dx\)

                    6.

                     If \(\frac{d}{dx}f(x) = 4x^3-\frac{3}{x^4}\) such that \(f(2)=0\), then \(f(x)\) is

                      • \(x^4+\frac{1}{x^3}-\frac{129}{8}\)

                      • \(x^3+\frac{1}{x^4}+\frac{129}{8}\)

                      • \(x^4+\frac{1}{x^3}+\frac{129}{8}\)

                      • \(x^3+\frac{1}{x^4}-\frac{129}{8}\)

                      CBSE CLASS XII Previous Year Papers

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