NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.1 Solutions 

CBSE CLASS XII Related Questions

  • 1.
    Determine those values of $x$ for which $f(x) = \frac{2}{x} - 5$, $x \ne 0$ is increasing or decreasing.


      • 2.
        Find the local maxima and local minima of the function \[ f(x) = \frac{8}{3} x^3 - 12x^2 + 18x + 5. \]


          • 3.
            In a rough sketch, mark the region bounded by \( y = 1 + |x + 1| \), \( x = -2 \), \( x = 2 \), and \( y = 0 \). Using integration, find the area of the marked region.


              • 4.
                If A and B are invertible matrices of order $3 \times 3$ such that $\text{det} = 4$ and $\text{det}([AB]^{-1}) = \frac{1}{20}$, then $\text{det}$ is equal to:

                  • $\frac{1}{20}$
                  • $\frac{1}{5}$
                  • 20
                  • 5

                • 5.
                  \[ \int \frac{\tan^2 \sqrt{x}}{\sqrt{x}} \, dx \text{ is equal to:} \]

                    • \(\sec \sqrt{x} + C\)
                    • \(2\sqrt{x} \tan x - x + C\)
                    • \(2\left( \tan \sqrt{x} - \sqrt{x} \right) + C\)
                    • \(2 \tan \sqrt{x} - x + C\)

                  • 6.
                    Find the least value of ‘a’ so that $f(x) = 2x^2 - ax + 3$ is an increasing function on $[2, 4]$.

                      CBSE CLASS XII Previous Year Papers

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