NCERT Solutions for Class 10 Maths Chapter 11 Constructions Exercise 11.1

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NCERT Solutions for Class 10 Maths Chapter 11 Constructions Exercise 11.1 Solutions are based on Division of a Line Segment and Solved examples based on the concept. 

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CBSE X Related Questions

  • 1.
    Solve the linear equations \(3x + y = 14\) and \(y = 2\) graphically.


      • 2.
        For any natural number n, \( 5^n \) ends with the digit :

          • 0
          • 5
          • 3
          • 2

        • 3.
          A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use \(\pi = 3.14\))

            • \(314 \sqrt{2}\) \(\text{cm}^{2}\)
            • \(314\) \(\text{cm}^{2}\)
            • \(\frac{3140}{3}\) \(\text{cm}^{2}\)
            • \(3140 \sqrt{2}\) \(\text{cm}^{2}\)

          • 4.
            An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals

              • \(1 : 8\)
              • \(1 : 2\)
              • \(1 : 1\)
              • \(2 : 1\)

            • 5.
              A trader has three different types of oils of volume \(870 \text{ l}\), \(812 \text{ l}\) and \(638 \text{ l}\). Find the least number of containers of equal size required to store all the oil without getting mixed.


                • 6.
                  Prove that: \(\frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\csc^3 \theta}{\csc^2 \theta - 1} = \sec \theta \cdot \csc \theta (\sec \theta + \csc \theta)\)

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